Area and Quadratic Functions

A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 320 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed? Please select the correct "set up" for this problem.

• A(x) = x (320 - x)

• A(x) = 2x (320 - x)

• A(x) = 2x (320 - 2x)

• A(x) = x (320 - 2x)

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 seconds

• The graph has exactly one zero

A poster has the dimensions 3x inches by x inches. It has a frame that is 3 inches thick. Which quadratic function models the area of the poster and the frame?

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

A restaurant wants to increase the price of a milkshake that currently costs $6. The restaurant has an employee conduct an analysis to predict the effect of the increased price on the weekly profit from milkshake sales. Based on the data collected, the employee makes the following graph. 

What is the profit at the current price of a milkshake

• $106

• $100

• $204

• $250

• $94

If the width of the hutch is 7 feet, how big will the area inside of the hutch be?

x is the width of the rectangular area in feet

y is the total ground area of enclosure in square feet.

We need to enclose a field with a fence. We have 500 meters of fencing material and a building is on one side of the field so we won't need any fencing on that side. Determine the dimensions of the field that will enclose the largest area.

• x=250m, y=125m

• x=150m, y=200m

• x=125m, y=100m

• x=200m, y=150m

Farmer Jo has 32 square meters of land in which to make an enclosure for bunnies, chicks, and penguins. (see picture)

Choose the equation that represents this information.

Farmer Jo has 32 square meters of land in which to make an enclosure for bunnies, chicks, and penguins. There will be fencing put in around the entire enclosure and in the middle (as pictured) to create 3 sections, what dimensions should the overall enclosure be in order to use the least amount of fence?

• The overall enclosure should be 8m by 8m

• The overall enclosure should be 8m by 4m

• The overall enclosure should be 32m by 1m

• It's impossible to tell