Modeling with Quadratic Equations

Question 1

Which solution can be simplified to determine when the object will hit the ground?

Revolt · Accepted Answer

C: t =

Question 2

A triangle’s height is 6c meters and the base is c – 1 meters. Brian knows that the area of the triangle is 18 square meters and is trying to find the height. Which shows the equation Brian can use and the correct measure of the height of the triangle?Area of a triangle = 0.5(base)(height)

Revolt · Accepted Answer

B: 0.5(c – 1)(6c) = 18; height = 18 meters

Question 3

An object is launched into the air. The projectile motion of the object can be modeled using the functionh(t) = –16t2 + 72t + 5, where t is the time in seconds since the launch and h(t) represents the height in feet of the object after t seconds. What is true about the projectile motion of this object? Check all that apply.The initial height is 5 feet.The initial velocity of the object is –72 feet/second.The object will hit the ground after approximately 4.57 seconds.After 3 seconds, the object is 173 feet high.At t = 0, h(t) = 0.

Revolt · Accepted Answer

A: The initial height is 5 feet.; C: The object will hit the ground after approximately 4.57 seconds.

Question 4

What is the approximate value of the hypotenuse?

Revolt · Accepted Answer

B: 10.25 inches

Question 5

A "golden rectangle” is a rectangle where the ratio of the longer side to the shorter side is the "golden ratio.” These rectangles are said to be visually pleasing. An example of a "golden rectangle” has a length equal to x units and a width equal to x – 1 units. Its area is 1 square unit. What is the length of this golden rectangle?

Revolt · Accepted Answer

B: Option B

Question 6

Question 6

Revolt · Accepted Answer

C: 10 cm

Question 7

Which solution can be simplified to determine when the object will hit the ground?

Revolt · Accepted Answer

C: t =

Question 8

A triangle’s height is 6c meters and the base is c – 1 meters. Brian knows that the area of the triangle is 18 square meters and is trying to find the height. Which shows the equation Brian can use and the correct measure of the height of the triangle?Area of a triangle = 0.5(base)(height)

Revolt · Accepted Answer

B: 0.5(c – 1)(6c) = 18; height = 18 meters

Question 9

An object is launched into the air. The projectile motion of the object can be modeled using the functionh(t) = –16t2 + 72t + 5, where t is the time in seconds since the launch and h(t) represents the height in feet of the object after t seconds. What is true about the projectile motion of this object? Check all that apply.The initial height is 5 feet.The initial velocity of the object is –72 feet/second.The object will hit the ground after approximately 4.57 seconds.After 3 seconds, the object is 173 feet high.At t = 0, h(t) = 0.

Revolt · Accepted Answer

A: The initial height is 5 feet.; C: The object will hit the ground after approximately 4.57 seconds.

Question 10

What is the approximate value of the hypotenuse?

Revolt · Accepted Answer

B: 10.25 inches

Modeling with Quadratic Equations Answers

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