Linear Equations: Real-World Rate of Change Problems

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

• 180 miles

• 150 miles

• 240 miles

• 90 miles

A water tank is being filled at a constant rate of 5 gallons per minute. How many gallons will be in the tank after 10 minutes?

• 50 gallons

• 30 gallons

• 70 gallons

• 100 gallons

A cell phone plan costs $30 per month plus $0.10 per text message. Write a linear equation to represent the total cost based on the number of text messages sent. How much will the plan cost if 50 messages are sent?

• $25

• $50

• $40

• $35

A train travels 150 miles in 2 hours. What is the constant rate of change in miles per hour?

• 90 miles per hour

• 60 miles per hour

• 100 miles per hour

• 75 miles per hour

A gardener plants 20 flowers every week. Write a linear equation to represent the total number of flowers planted after 'w' weeks. How many flowers will be planted after 5 weeks?

• 100

• 120

• 80

• 60

A factory produces 200 toys every hour. If the factory operates for 8 hours, how many toys will it produce?

• 1200 toys

• 2400 toys

• 800 toys

• 1600 toys

A bike rental shop charges a flat fee of $15 plus $5 for each hour rented. Write a linear equation for the total cost based on hours rented. What is the cost for 4 hours?

• $35

• $50

• $45

• $25

A runner jogs at a constant pace of 4 miles per hour. How long will it take to run 10 miles?

• 5 miles

• 1 hour

• 2.5 hours

• 3 hours

A phone company offers a plan that costs $50 per month plus $0.05 per minute of calls. Write a linear equation for the total cost based on minutes used. How much will the plan cost if 200 minutes are used?

• $50

• $60

• $70

• $80

A delivery truck travels at a constant speed of 45 miles per hour. How far will it travel in 4.5 hours?

• 202.5 miles

• 150 miles

• 225 miles

• 180 miles