3.5 Linear Equations and Rate of ChangeWarm-up

Samantha’s walk was recorded by a motion sensor. A graph of her walk and a few data points are shown here.

a. Write an equation in intercept form.b. If she continues to walk at a constant rate, at what time would she pass the sensor?

Input x

Output y

20  

-30  

16  

15  

-12.5  

3.5 Linear Equations and Rate of ChangeLaunch

Copy and complete this table of output values for each equation, then graph these data values.

3.5 Linear Equations and Rate of ChangeSummaryThis investigation examined that the relationship between the outside temperature and the wind chill which is dependent upon the wind speed.

The rate of change is equal to the ratio of the change in output values divided by the corresponding change in input values.

What was the rate of change with a wind speed of 20 mi/h?

3.5 Linear Equations and Rate of ChangeApply

x units

7.3 units200 square units

You can use the equation 7.3x = 200 to describe a rectangle with an area of 200 square units like the one shown.

What are the real world meanings of the numbers and the variable in the equation?Solve the equation for x and explain the meaning of your solution.

3.5 Linear Equations and Rate of Change

The equation y = 2200-250x represents the distance in miles a plane is from Milwaukee after x hours.

a. What is the real-world meaning of the 2200?b. What is the real-world meaning of the 250?c. Is the plane going towards Milwaukee or

away?d. How far from Milwaukee will the plane be after

8 hours?