Lesson 7: Modeling with Quadratic Equations…

1

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6 cm8 cm10 cm12cm

A

6 cm

B

8 cm

C

10 cm

D

12cm

2

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24 cm28 cm30 cm40 cm

A

24 cm

B

28 cm

C

30 cm

D

40 cm

3

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

A

t =

B

t =

C

t =

D

t =

4

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)

A

0.5(c – 1)(6c) = 18; height = 3 meters

B

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

C

(c – 1)(6c) = 18; height = 3 meters

D

(c – 1)(6c) = 18; height = 18 meters

5

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.

A

The initial height is 5 feet.

B

The initial velocity of the object is –72 feet/second.

C

The object will hit the ground after approximately 4.57 seconds.

D

After 3 seconds, the object is 173 feet high.

E

At t = 0, h(t) = 0.

6

What is the approximate value of the hypotenuse?

A

10 inches

B

10.25 inches

C

20.25 inches

D

81 inches

7

after 1.5 secondsafter 3.0 secondsafter 6.0 seconds.

A

after 1.5 seconds

B

after 3.0 seconds

C

after 6.0 seconds.

8

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?

A

Option

B

Option

C

Option

D

Option

9

after 2.5 secondsafter 5.0 secondsafter 6.0 seconds

A

after 2.5 seconds

B

after 5.0 seconds

C

after 6.0 seconds

10

Question text not available

Answer not available

11

Question text not available

Answer not available

12

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

A

t =

B

t =

C

t =

D

t =

14

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)

A

0.5(c – 1)(6c) = 18; height = 3 meters

B

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

C

(c – 1)(6c) = 18; height = 3 meters

D

(c – 1)(6c) = 18; height = 18 meters

15

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.

A

The initial height is 5 feet.

B

The initial velocity of the object is –72 feet/second.

C

The object will hit the ground after approximately 4.57 seconds.

D

After 3 seconds, the object is 173 feet high.

E

At t = 0, h(t) = 0.

16

What is the approximate value of the hypotenuse?

A

10 inches

B

10.25 inches

C

20.25 inches

D

81 inches

17

Question text not available

Answer not available

18

Question text not available

Answer not available

21

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?

A

Option A