Exploring Rate of Change: Real-World Slope Challenges

A car travels 150 miles in 3 hours. What is the rate of change in miles per hour?

• 75 miles per hour

• 50 miles per hour

• 100 miles per hour

• 30 miles per hour

A plant grows from 2 inches to 10 inches over 4 weeks. What is the slope of the plant's growth?

• 1 inch per week

• 3 inches per week

• 2 inches per week

• 5 inches per week

A bike rental shop charges $5 for the first hour and $2 for each additional hour. What is the slope of the cost per hour?

• 2

• $1

• 4

• 3

A student scores 70 on their first test and 90 on their second test after 5 weeks of studying. What is the rate of change in their test scores per week?

• 5 points per week

• 4 points per week

• 2 points per week

• 3 points per week

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

• 60 toys per hour

• 50 toys per hour

• 80 toys per hour

• 40 toys per hour

A runner completes a 10K race in 50 minutes. If they maintain the same pace, how many minutes will it take to run 5K? What is the slope of their pace?

• 30 minutes

• 40 minutes

• 20 minutes

• 25 minutes

A phone plan costs $30 for the first line and $10 for each additional line. What is the slope of the cost per line?

• 15

• 10

• 20

• 5

A student reads 30 pages in 2 days. If they continue at this rate, how many pages will they read in 10 days? What is the slope of their reading rate?

• 150 pages, slope is 15 pages per day

• 200 pages, slope is 20 pages per day

• 90 pages, slope is 5 pages per day

• 120 pages, slope is 10 pages per day

A water tank fills from 0 to 100 liters in 20 minutes. What is the rate of change in liters per minute?

• 2 liters per minute

• 5 liters per minute

• 15 liters per minute

• 10 liters per minute

A bakery sells 50 cupcakes in the first hour and 80 cupcakes in the second hour. What is the slope of cupcake sales per hour?

• 20 cupcakes per hour

• 50 cupcakes per hour

• 30 cupcakes per hour

• 40 cupcakes per hour