Linear Relationships: Constant Rate Word Problems & Graphs

A car travels at a constant speed of 60 miles per hour. How far will it travel in 3 hours? Graph the distance over time.

• 180 miles

• 90 miles

• 240 miles

• 120 miles

A plant grows 2 inches every week. If it starts at 10 inches, how tall will it be after 5 weeks? Create a graph showing the height over time.

• 30 inches

• 25 inches

• 15 inches

• 20 inches

A bike rental shop charges a flat fee of $15 plus $5 for each hour rented. Write an equation for the total cost and graph it for up to 6 hours.

• C = 15h + 5

• C = 10 + 5h

• C = 15 + 10h

• C = 15 + 5h

A train leaves a station and travels at a constant speed of 80 miles per hour. How long will it take to travel 240 miles? Illustrate this on a graph of distance vs. time.

• 4 hours

• 2 hours

• 3 hours

• 5 hours

A water tank is being filled at a rate of 4 gallons per minute. If it starts empty, how much water will be in the tank after 10 minutes? Graph the volume of water over time.

• 10 gallons

• 20 gallons

• 40 gallons

• 60 gallons

A factory produces 100 widgets per hour. If it operates for 8 hours, how many widgets will it produce? Create a graph showing the total production over time.

• 800 widgets

• 1000 widgets

• 600 widgets

• 400 widgets

A runner jogs at a steady pace of 5 miles per hour. How far will they run in 2.5 hours? Plot this on a distance vs. time graph.

• 10 miles

• 12.5 miles

• 15 miles

• 20 miles

A delivery truck travels 50 miles in 1 hour. How far will it travel in 4 hours? Create a graph to represent the distance traveled over time.

• 100 miles

• 250 miles

• 150 miles

• 200 miles

A swimming pool is filled at a rate of 3 feet per hour. If it starts empty and you want to know how deep it will be after 6 hours, graph the depth over time.

• 30 feet

• 18 feet

• 24 feet

• 12 feet