a rectangle has a perimeter of 30 ft. find a function that models its area a in terms of the length...
TRANSCRIPT
A rectangle has a perimeter of 30 ft. Find a function that models its area A in terms of the length x of one of its sides.
1 2 3 4
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
1. 2.
3. 4.
Two ships leave port at the same time. One sails south at 15 mi/h and the other sails east at 20 mi/h. Find a function that models the distance D between the ships in terms of the time t ( in hours ) elapsed since their departure.
1 2 3 4
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
1. 2.
3. 4.
Find two numbers whose sum is 23 and whose product is as large as possible. Find a function that models the product, P, in terms of one of the two numbers, x. Use your model to solve the problem.
1 2 3 4
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
1. 11.5 and 11.5
2. 17.25 and 5.75
3. 5.75 and 11.5
4. 23 and 0
A baseball team plays in a stadium that holds 55,000 spectators. With the ticket price at $8, the average attendance at recent games has been 32,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 4,000. What ticket price is so high that no revenue is generated?
1 2 3 4
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
1. $16.00
2. $8.00
3. $14.00
4. $17.50
A rancher wants to build a rectangular pen with an area of 900 m 2. Find the pen dimensions that require the minimum amount of fencing.
1 2 3 4
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
1. 30 ft by 30 ft
2. 27 ft by 35 ft
3. 35 ft by 23 ft
4. 23 ft by 23 ft