example 3 blood alcohol percent chapter 1.4 the table gives the number of drinks and the resulting...
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![Page 1: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/1.jpg)
example 3 Blood Alcohol Percent
Chapter 1.4
The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink” is equal to 1.25 oz of 80 proof liquor, 12 oz of a regular beer, or 5 oz of table wine, and many states have set 0.08% as the legal limit for driving under the influence.)
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
2009 PBLPathways
![Page 2: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/2.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
![Page 3: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/3.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
![Page 4: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/4.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
change in y valuesslope
change in x values
0.09 0.07
4 30.02
![Page 5: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/5.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
change in y valuesslope
change in x values
0.09 0.07
4 30.02
![Page 6: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/6.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
change in y valuesslope
change in x values
0.09 0.07
4 30.02
![Page 7: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/7.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
change in y valuesslope
change in x values
0.09 0.07
4 30.02
percent per drink
![Page 8: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/8.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
change in y valuesslope
change in x values
0.11 0.09
5 40.02
percent per drink
![Page 9: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/9.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
change in y valuesslope
change in x values
0.13 0.11
6 50.02
percent per drink
![Page 10: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/10.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
change in y valuesslope
change in x values
0.15 0.13
7 60.02
percent per drink
![Page 11: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/11.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
change in y valuesslope
change in x values
0.17 0.15
8 70.02
percent per drink
![Page 12: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/12.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
change in y valuesslope
change in x values
0.19 0.17
9 80.02
percent per drink
![Page 13: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/13.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
change in y valuesslope
change in x values
0.21 0.19
10 90.02
percent per drink
![Page 14: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/14.jpg)
2009 PBLPathways
a. Is the rate of change of the blood alcohol percent for a 180-lb man constant? What is it?
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
change in y valuesslope
change in x values
0.21 0.19
10 90.02
percent per drink
![Page 15: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/15.jpg)
2009 PBLPathways
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
1 1
0.07 0.02 3
0.07 0.02 0.06
0.02 0.01
y y m x x
y x
y x
y x
![Page 16: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/16.jpg)
2009 PBLPathways
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
1 1
0.07 0.02 3
0.07 0.02 0.06
0.02 0.01
y y m x x
y x
y x
y x
![Page 17: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/17.jpg)
2009 PBLPathways
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
1 1
0.07 0.02 3
0.07 0.02 0.06
0.02 0.01
y y m x x
y x
y x
y x
![Page 18: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/18.jpg)
2009 PBLPathways
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
1 1
0.07 0.02 3
0.07 0.02 0.06
0.02 0.01
y y m x x
y x
y x
y x
![Page 19: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/19.jpg)
2009 PBLPathways
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
1 1
0.07 0.02 3
0.07 0.02 0.06
0.02 0.01
y y m x x
y x
y x
y x
![Page 20: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/20.jpg)
2009 PBLPathways
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
0.02 0.02 0.01
y mx b
y x b y x
0.07 0.02 3
0.07 0.06
0.01
b
b
b
![Page 21: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/21.jpg)
2009 PBLPathways
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
0.02 0.02 0.01
y mx b
y x b y x
0.07 0.02 3
0.07 0.06
0.01
b
b
b
![Page 22: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/22.jpg)
2009 PBLPathways
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
0.02 0.02 0.01
y mx b
y x b y x
0.07 0.02 3
0.07 0.06
0.01
b
b
b
![Page 23: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/23.jpg)
2009 PBLPathways
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
0.02 0.02 0.01
y mx b
y x b y x
0.07 0.02 3
0.07 0.06
0.01
b
b
b
![Page 24: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/24.jpg)
2009 PBLPathways
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
0.02 0.02 0.01
y mx b
y x b y x
0.07 0.02 3
0.07 0.06
0.01
b
b
b
![Page 25: Example 3 Blood Alcohol Percent Chapter 1.4 The table gives the number of drinks and the resulting blood alcohol percent for a 180-lb man. (“One drink”](https://reader035.vdocuments.mx/reader035/viewer/2022070411/56649f525503460f94c76fc6/html5/thumbnails/25.jpg)
2009 PBLPathways
b. Write the equation of the function that models the blood alcohol percent as a function of the number of drinks.
Number of Drinks (x)
3 4 5 6 7 8 9 10
Blood Alcohol Percent (y)
0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21
0.02 0.02 0.01
y mx b
y x b y x
0.07 0.02 3
0.07 0.06
0.01
b
b
b