
Radical Functions: Exploring Graphs and Applications
Authored by Anthony Clark
English, Mathematics
9th Grade
CCSS covered

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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 4 feet. If the area of the flower bed is represented by the function A(r) = πr², how can you express the radius in terms of the area?
r = A/π
r = πA
r = √(A/π)
r = 4A
Tags
CCSS.HSA.REI.B.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car's speed is modeled by the function s(t) = √(t + 1), where s is the speed in meters per second and t is the time in seconds. What is the speed of the car after 3 seconds?
2 meters per second
4 meters per second
3 meters per second
1 meter per second
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) = -16t² + 64, where h is the height in feet and t is the time in seconds. At what time does the ball reach a height of 48 feet?
1 second
0.5 seconds
2 seconds
3 seconds
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A swimming pool is being filled with water at a rate that can be modeled by the function V(t) = 5√t, where V is the volume in cubic feet and t is the time in minutes. How long will it take to fill the pool to a volume of 80 cubic feet?
120 minutes
180 minutes
256 minutes
300 minutes
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The distance d in miles that a car can travel on a certain amount of gas can be modeled by the function d(g) = 3√g, where g is the gallons of gas. If the car has 8 gallons of gas, how far can it travel?
10 miles
8.49 miles
5.5 miles
12 miles
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular garden has a length that is 3 feet longer than its width. If the area of the garden is represented by the function A(w) = w(w + 3), where w is the width, what is the width if the area is 40 square feet?
6 feet
4 feet
5 feet
7 feet
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The time it takes for a ball to hit the ground can be modeled by the function t(h) = √(h/16), where h is the height in feet. How long will it take for a ball dropped from a height of 64 feet to hit the ground?
1 second
2 seconds
3 seconds
4 seconds
Tags
CCSS.8.EE.A.2
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