Using your knowledge of solving quadratic equations by factoring, solve each problem shown below. Follow the instructions for each problem, answer all of the questions, and make sure to show all of your work.

This activity is available below or in a printable document.

1. During the kickoff at a local high school football game, a football is placed onto a tee to a height of 0.125 feet above the ground.  The football is kicked with an initial velocity of 80 feet per second.

1. Write an equation that best models this scenario.
2. If the ball is caught at a height of 5 ft, approximately how long did it remain in the air? Round to the nearest hundredth of a second.

2. The length of a rectangular-shaped patio is 3 feet shorter than four times its width.

1. Write an equation to represent the area of the patio.
2. If the patio has an area of 370 ft2, find the dimensions of the patio.

3. A rectangular-shaped dining room table is modeled by the figure given below.

1. Write an equation to represent the area of the dining room table.
2. If the the area of the table is 112 ft2, what are the dimensions of the dining room table?

Once you have completed your assignment, please submit your work to the dropbox.