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Rate of Change: Real-World Applications and Graphs

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A car travels 150 miles in 3 hours. What is the rate of change of distance with respect to time?

a)

75 miles per hour

b)

30 miles per hour

c)

50 miles per hour

d)

100 miles per hour

2.

A plant grows 12 inches over 4 weeks. What is the rate of growth per week?

a)

2 inches per week

b)

6 inches per week

c)

4 inches per week

d)

3 inches per week

3.

The temperature in a city rises from 60°F to 80°F over 4 hours. What is the rate of change in temperature per hour?

a)

15°F per hour

b)

5°F per hour

c)

10°F per hour

d)

2°F per hour

4.

A cyclist rides 30 miles in 2 hours. If the graph of distance over time is linear, what is the slope of the graph?

a)

15 miles per hour

b)

25 miles per hour

c)

10 miles per hour

d)

20 miles per hour

5.

A water tank fills at a rate of 5 gallons per minute. How much water is in the tank after 10 minutes?

a)

50 gallons

b)

100 gallons

c)

30 gallons

d)

70 gallons

6.

A runner completes a 5K race in 25 minutes. What is the average speed in miles per hour? (1 mile = 1.60934 km)

a)

6.5 mph

b)

7.44 mph

c)

8.2 mph

d)

9.0 mph

7.

A store's sales increase from $2000 to $3000 over a month. What is the rate of change in sales per week?

a)

$200

b)

$250

c)

$150

d)

$300

8.

A train travels 120 miles in 2 hours. If the graph of distance versus time is plotted, what does the slope represent?

a)

The slope represents the acceleration of the train.

b)

The slope represents the total distance traveled.

c)

The slope represents the time taken for the journey.

d)

The slope represents the speed of the train.

9.

A population of a town increases from 10,000 to 12,500 in 5 years. What is the annual rate of change in population?

a)

5%

b)

3%

c)

10%

d)

7%

10.

A smartphone's battery drains from 100% to 20% in 4 hours. What is the rate of battery consumption per hour?

a)

15% per hour

b)

20% per hour

c)

25% per hour

d)

10% per hour