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Real-Life Radical Functions: Modeling & Interpreting Solutions

Authored by Anthony Clark

English, Mathematics

9th Grade

CCSS covered

Real-Life Radical Functions: Modeling & Interpreting Solutions
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A gardener is designing a circular flower bed with a radius of r meters. The area of the flower bed can be modeled by the function A(r) = πr². If the area is 50 square meters, what is the radius of the flower bed?

5 meters

√(50/π)

√(100/π)

10 meters

Tags

CCSS.8.EE.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car's speed can be modeled by the function s(t) = √(t + 4), where s is the speed in meters per second and t is the time in seconds. If the car's speed is 10 m/s, how long has the car been traveling?

50 seconds

80 seconds

96 seconds

120 seconds

Tags

CCSS.HSA.REI.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The height of a ball thrown into the air can be modeled by the function h(t) = -4.9t² + 20t + 5, where h is the height in meters and t is the time in seconds. What is the maximum height reached by the ball?

30 meters

20 meters

25.4 meters

15.4 meters

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular garden has a length that is 3 meters longer than its width. The area of the garden is 40 square meters. If w is the width, write a radical function to find the width of the garden.

7 meters

4 meters

5 meters

6 meters

Tags

CCSS.8.EE.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The volume of a cube can be modeled by the function V(s) = s³, where V is the volume and s is the length of a side. If the volume of the cube is 64 cubic meters, what is the length of a side of the cube?

10 meters

2 meters

8 meters

4 meters

Tags

CCSS.8.EE.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A swimming pool is being filled with water. The volume of water in the pool can be modeled by the function V(t) = 2√t, where V is the volume in cubic meters and t is the time in hours. If the volume of water is 18 cubic meters, how long has the pool been filling?

36 hours

64 hours

100 hours

81 hours

Tags

CCSS.HSA.REI.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The distance d in meters that a car travels can be modeled by the function d(t) = 3√t, where t is the time in hours. If the car has traveled 27 meters, how long has it been traveling?

81 hours

9 hours

27 hours

54 hours

Tags

CCSS.HSA.REI.A.2

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