Quiz about ch2 Rates of Change: Real-World Applications

Question 1

A car travels a distance of 150 km in 3 hours. What is the average rate of change of the car's position with respect to time?

Accepted Answer

50 km/h

Answer

30 km/h

Answer

60 km/h

Answer

45 km/h

Question 2

The population of a town increased from 20,000 to 25,000 over 5 years. What is the average rate of change of the population per year?

Accepted Answer

1,000 people/year

Answer

1,500 people/year

Answer

2,000 people/year

Answer

500 people/year

Question 3

The function $$f(x) = 3x^2 + 2x + 1$$ represents the height of a ball thrown into the air, where $$x$$ is time in seconds. What is the instantaneous rate of change of the height at $$x = 2$$ seconds?

Accepted Answer

14

Answer

16

Answer

18

Answer

20

Question 4

A company's revenue is modeled by the function $$R(t) = 100t^2 + 200t + 500$$ , where $$t$$ is time in years. What is the instantaneous rate of change of revenue at $$t = 3$$ years?

Accepted Answer

800

Answer

900

Answer

1,000

Answer

1,100

Question 5

A car's velocity is given by the function $$v(t) = 4t^2 + 2t$$ , where $$t$$ is time in seconds. What is the acceleration at $$t = 5$$ seconds?

Accepted Answer

42

Answer

44

Answer

46

Answer

48

Question 6

Find the average rate of change of Pete's height from 3 years old to 5 years old.

Accepted Answer

4 inches per year

Answer

2 inches per year

Answer

8 inches per year

Answer

2 years

Question 7

Calculate the average rate of change in water left in the pool from 20 to 40 minutes.

Accepted Answer

-2 gallons per minute

Answer

2 minutes per gallon

Answer

-20 minutes per gallon

Answer

20 gallons per minute

Question 8

What is the slope of the graph from 4 to 5 seconds?

Accepted Answer

20

Answer

40

Answer

8

Answer

10

Question 9

What is happening to the velocity from 4 to 5 seconds?

Accepted Answer

increasing

Answer

decreasing

Answer

remaining constant

Question 10

The velocity is increasing from 4 to 5 seconds. How is it increasing?

Accepted Answer

at a constant rate

Answer

at an increasing rate

Answer

at a decreasing rate

Question 11

The velocity is increasing from 4 to 5 seconds. How is it increasing?

Accepted Answer

at a constant rate

Answer

at an increasing rate

Answer

at a decreasing rate

Question 12

What is the meaning of the slope from 4 to 5 seconds?

Accepted Answer

20 m/s2

Answer

20 m

Answer

20 m/s

Answer

20 s

Question 13

The acceleration from 4 to 5 seconds is

Accepted Answer

constant

Answer

increasing

Answer

decreasing

Question 14

This position vs time graph shows the position of a car during 6 seconds. What is the position doing from 4 to 6 seconds?

Accepted Answer

staying constant

Answer

increasing

Answer

decreasing

Question 15

This position vs time graph shows the position of a car during 6 seconds. What is the slope from 4 to 6 seconds?

Accepted Answer

0

Answer

10

Answer

20

Answer

1

Question 16

Look at the line graph.  Which statement is consistent with the line graph?

Accepted Answer

The ability of air to hold moisture increases as temperature increases.

Answer

The ability of air to hold moisture decreases as temperature increases.

Answer

The ability of air to hold moisture decreases and then increases as temperature increases.

Answer

The ability of air to hold moisture stays the same regardless of temperature.

Question 17

What happens to the rate of change of water vapor as temperature increases?

Accepted Answer

increases at an increasing rate

Answer

increases at a constant rate

Answer

increases at a decreasing rate

Answer

decreases at an increasing rate

Answer

decreases at a constant rate

ch2 Rates of Change: Real-World Applications

21 questions

A car travels a distance of 150 km in 3 hours. What is the average rate of change of the car's position with respect to time?

The population of a town increased from 20,000 to 25,000 over 5 years. What is the average rate of change of the population per year?

The temperature of a liquid decreases from 80°C to 60°C in 4 hours. What is the average rate of change of temperature?

Find the average rate of change of Pete's height from 3 years old to 5 years old.

Calculate the average rate of change in water left in the pool from 20 to 40 minutes.

What is the slope of the graph from 4 to 5 seconds?

What is happening to the velocity from 4 to 5 seconds?

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