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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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# 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 side - PowerPoint PPT Presentation

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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
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.
• 30 ft by 30 ft
• 27 ft by 35 ft
• 35 ft by 23 ft
• 23 ft by 23 ft