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.

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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.

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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.

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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.

- 11.5 and 11.5
- 17.25 and 5.75
- 5.75 and 11.5
- 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?

- $16.00
- $8.00
- $14.00
- $17.50

- 30 ft by 30 ft
- 27 ft by 35 ft
- 35 ft by 23 ft
- 23 ft by 23 ft