Rate of Change and Slope: 8th Grade Math Challenge

A car travels 60 miles in 1 hour. What is the constant rate of change in miles per hour?

• 50 miles per hour

• 60 miles per hour

• 70 miles per hour

• 30 miles per hour

If a bike travels 15 miles in 30 minutes, what is the slope of the distance over time?

• 45 miles per hour

• 60 miles per hour

• 30 miles per hour

• 15 miles per hour

A train leaves a station and travels at a constant speed of 80 miles per hour. How far will it travel in 3 hours?

• 240 miles

• 300 miles

• 180 miles

• 120 miles

A water tank is filling at a constant rate of 5 gallons per minute. How many gallons will it have after 10 minutes?

• 30 gallons

• 100 gallons

• 50 gallons

• 70 gallons

A runner completes a 5K race in 25 minutes. What is the runner's average speed in miles per hour?

• 7.44 mph

• 9.20 mph

• 6.00 mph

• 8.50 mph

If a person walks 2 miles in 40 minutes, what is the constant rate of change in miles per minute?

• 0.02 miles per minute

• 0.1 miles per minute

• 0.05 miles per minute

• 1 mile per minute

A factory produces 200 toys in 4 hours. What is the rate of production in toys per hour?

• 50 toys per hour

• 100 toys per hour

• 25 toys per hour

• 75 toys per hour

A car's fuel efficiency is 30 miles per gallon. If it drives 150 miles, how many gallons of fuel will it use?

• 5 gallons

• 7 gallons

• 10 gallons

• 3 gallons

A student reads 120 pages in 3 hours. What is the constant rate of change in pages per hour?

• 40 pages per hour

• 30 pages per hour

• 60 pages per hour

• 50 pages per hour

If a swimmer swims 100 meters in 50 seconds, what is the slope of the distance over time in meters per second?

• 1 meter per second

• 4 meters per second

• 2 meters per second

• 3 meters per second