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

1. 1. 2. 3. 4. 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} • {image} • {image} • {image}

2. 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. • {image} • {image} • {image} • {image}

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