Calculate Slope: Constant Rate of Change Challenges

A car travels at a constant speed of 60 miles per hour. If you graph the distance traveled over time, what is the slope of the line?

• 30 miles per hour

• 90 miles per hour

• 120 miles per hour

• 60 miles per hour

Tags

CCSS.HSF.IF.B.4

A bike rental shop charges a flat fee of $10 plus $5 per hour. If you graph the total cost against the number of hours rented, what is the constant rate of change?

• 5

• 15

• 20

• 10

Tags

CCSS.8.EE.B.5

A water tank is being filled at a constant rate. If the graph shows that the tank fills 200 liters in 4 hours, what is the slope of the graph?

• 75 liters per hour

• 50 liters per hour

• 25 liters per hour

• 100 liters per hour

Tags

CCSS.HSF.LE.B.5

A train travels 150 miles in 3 hours. If you plot the distance against time, what is the constant rate of change represented by the slope of the line?

• 30 miles per hour

• 75 miles per hour

• 50 miles per hour

• 100 miles per hour

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A gardener plants 30 trees in 5 hours. If you create a graph of the number of trees planted over time, what is the slope of the line?

• 4 trees per hour

• 8 trees per hour

• 10 trees per hour

• 6 trees per hour

Tags

CCSS.HSF.IF.B.4

A factory produces 500 widgets in 10 hours. If you graph the number of widgets produced over time, what is the constant rate of change?

• 25 widgets per hour

• 100 widgets per hour

• 75 widgets per hour

• 50 widgets per hour

Tags

CCSS.HSF-LE.A.1B

A runner completes a 5K race in 25 minutes. If you graph the distance covered over time, what is the slope of the line?

• 0.4 km/min

• 0.5 km/min

• 0.2 km/min

• 0.1 km/min

Tags

CCSS.8.EE.B.5

A delivery truck travels 120 miles in 2 hours. If you plot the distance against time, what is the constant rate of change?

• 30 miles per hour

• 90 miles per hour

• 60 miles per hour

• 120 miles per hour

Tags

CCSS.HSF-LE.A.1B

A painter can paint 3 rooms in 6 hours. If you graph the number of rooms painted over time, what is the slope of the line?

• 0.5

• 2.0

• 1.0

• 0.25

Tags

CCSS.8.EE.B.5

A student reads 150 pages in 3 days. If you create a graph of pages read over time, what is the constant rate of change represented by the slope?

• 30 pages per day

• 50 pages per day

• 75 pages per day

• 100 pages per day

Tags

CCSS.HSF.IF.B.4