Real-Life Slope Problems: Interpret and Solve!

A line on a graph shows the distance a car travels over time. If the slope of the line is 60 miles per hour, how far will the car travel in 3 hours?

• 240 miles

• 180 miles

• 90 miles

• 120 miles

A mountain trail rises 150 feet over a horizontal distance of 300 feet. What is the slope of the trail, and what does it represent in this context?

• 0.75

• 0.5

• 0.25

• 1.0

A bike rental shop charges a flat fee of $10 plus $2 for every hour rented. What is the slope of the cost function, and what does it mean?

• The slope of the cost function is 0.

• The slope of the cost function is 2.

• The slope of the cost function is 5.

• The slope of the cost function is 10.

A student is tracking the number of pages read each day. If they read 15 pages on the first day and 45 pages on the third day, what is the slope of the line representing their reading progress?

• 15

• 30

• 60

• 45

A gardener plants a row of flowers that grows 2 inches every week. If the graph shows the height of the flowers over time, what does the slope represent?

• The slope represents the growth rate of the flowers, which is 2 inches per week.

• The slope indicates the total height of the flowers after a certain time.

• The slope represents the initial height of the flowers.

• The slope shows the number of flowers planted each week.

A train travels at a constant speed, and the graph shows the distance covered over time. If the slope is 80 miles per hour, how far will the train travel in 4 hours?

• 240 miles

• 320 miles

• 400 miles

• 160 miles

A company’s profit increases by $500 for every additional product sold. If the graph of profit versus number of products sold has a slope of 500, what does this mean?

• The profit increases by $1000 for every additional product sold.

• The profit increases by $500 for each additional product sold.

• The profit decreases by $500 for each additional product sold.

• The profit remains constant regardless of the number of products sold.

A runner's speed increases from 5 miles per hour to 10 miles per hour over a 2-hour period. What is the slope of the graph representing their speed, and what does it indicate?

• 1 mph per hour

• 3 mph per hour

• 2.5 mph per hour

• 5 mph per hour

A school is measuring the height of students over the years. If the average height increases by 3 inches every year, what is the slope of the height graph?

• 2

• 3

• 4

• 5

A car's fuel efficiency is represented on a graph where the slope is -2 miles per gallon. What does this negative slope indicate about the car's performance?

• The car's performance remains constant, with no change in fuel efficiency.

• The negative slope indicates the car is using more fuel efficiently.

• The car's performance is improving, leading to higher fuel efficiency.

• The car's performance is decreasing, leading to lower fuel efficiency.