Real-Life Rates of Change: Understanding Slope for 7th Graders

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

• The slope represents the total distance traveled.

• The slope represents the speed of the car, which is 60 miles per hour.

• The slope represents the time taken to travel.

• The slope represents the acceleration of the car.

A gardener plants a tree that grows 2 inches every month. If you graph the height of the tree over time, what does the slope indicate about the tree's growth?

• The slope indicates the tree grows 2 inches every month.

• The slope indicates the tree's height is constant over time.

• The slope shows the tree grows 2 feet every month.

• The slope represents the tree's growth rate decreasing over time.

A cyclist rides 15 miles in 1 hour. If you create a graph of distance versus time, what does the slope of the line tell you about the cyclist's speed?

• The slope of the line indicates the cyclist's speed of 15 miles per hour.

• The slope represents the total distance traveled by the cyclist.

• The slope indicates the time taken to ride the distance.

• The slope shows the cyclist's average speed over multiple rides.

A company produces 100 toys in the first hour and 200 toys in the second hour. If you graph the number of toys produced over time, what does the slope of the line represent?

• The slope represents the rate of toy production per hour.

• The slope indicates the total number of toys produced.

• The slope represents the maximum production capacity of the factory.

• The slope shows the average production over two hours.

A runner completes a 5K race in 25 minutes. If you graph the distance covered over time, how can you interpret the slope of the graph?

• The slope indicates the runner's speed.

• The slope indicates the time taken to complete the race.

• The slope represents the total distance covered.

• The slope shows the runner's heart rate during the race.

A student saves $10 each week. If you graph the total savings over weeks, what does the slope of the line represent in this context?

• The slope shows the average savings over the entire year.

• The slope represents the total savings after a certain number of weeks.

• The slope represents the amount saved per week, which is $10.

• The slope indicates the initial amount saved at the start of the period.

A train travels 120 miles in 2 hours. If you plot the distance against time, what does the slope of the line indicate about the train's speed?

• The slope indicates the train's speed of 30 miles per hour.

• The slope indicates the train's speed of 120 miles per hour.

• The slope indicates the train's speed of 90 miles per hour.

• The slope indicates the train's speed of 60 miles per hour.

A factory increases its production from 300 units to 600 units over 3 hours. If you graph this data, what does the slope represent?

• The slope represents the rate of production increase per hour.

• The slope represents the number of workers in the factory.

• The slope indicates the total production over the entire period.

• The slope shows the maximum production capacity of the factory.

A swimmer completes 50 meters in 30 seconds. If you graph the distance over time, how can you interpret the slope of the graph?

• The slope represents the total distance covered.

• The slope indicates the time taken to complete the distance.

• The slope shows the swimmer's endurance level.

• The slope indicates the swimmer's speed.

A phone plan charges $30 per month plus $0.10 per minute of calls. If you graph the total cost against minutes used, what does the slope of the line represent?

• The slope represents the cost per minute of calls, which is $0.10.

• The slope represents the total monthly fee of $30.

• The slope represents the total cost of calls made.

• The slope represents the fixed cost of the plan.