Radical Functions and Real-World Applications Quiz

A gardener is planting a square garden. If the area of the garden is 64 square meters, what is the length of one side of the garden?

• 12 meters

• 8 meters

• 10 meters

• 6 meters

A car's speed is represented by the function s(t) = √t, where s is the speed in meters per second and t is the time in seconds. What is the speed of the car after 9 seconds?

• 5 meters per second

• 3 meters per second

• 1 meter per second

• 9 meters per second

The height of a tree can be modeled by the function h(x) = √(x + 4), where x is the distance from the tree in meters. What is the height of the tree when you are 5 meters away?

• 5 meters

• 3 meters

• 2 meters

• 1 meter

A square swimming pool has an area of 144 square feet. What is the length of one side of the pool?

• 12 feet

• 16 feet

• 14 feet

• 10 feet

The volume of a cube is given by V = s³, where s is the length of a side. If the volume is 27 cubic meters, what is the length of one side of the cube?

• 2 meters

• 4 meters

• 3 meters

• 5 meters

A rectangular garden has a length that is twice its width. If the area of the garden is 50 square meters, what is the width of the garden?

• 7 meters

• 2.5 meters

• 5 meters

• 10 meters

The distance a ball is thrown can be modeled by the function d(t) = √(t), where d is the distance in meters and t is the time in seconds. How far does the ball travel after 16 seconds?

• 4 meters

• 2 meters

• 8 meters

• 16 meters

A square plot of land has an area of 81 square meters. If you want to fence the plot, how many meters of fencing will you need?

• 40 meters

• 36 meters

• 30 meters

• 24 meters

The height of a ramp can be modeled by the function h(x) = √(x), where x is the distance from the base of the ramp in meters. What is the height of the ramp when you are 4 meters away?

• 5 meters

• 1 meter

• 2 meters

• 3 meters

A rectangular garden has a length of 10 meters and a width that is the square root of the length. What is the width of the garden?

• 10 meters

• 5 meters

• 3.16 meters

• 2.5 meters