A rectangle has a perimeter of 30 ft. Find a function that m...

**1. **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. {image}
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**2. **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. {image}
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**3. **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

**4. **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

**5. **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