Calculating and Interpreting Slope from Graphs

A line on a graph shows the distance a car travels over time. If the line rises 4 units for every 2 units it moves to the right, what is the slope of the line?

• 1

• 3

• 2

• 4

A mountain trail is represented on a graph where the vertical axis is elevation in feet and the horizontal axis is distance in miles. If the trail rises 300 feet over a distance of 1.5 miles, what is the slope of the trail?

• 200 feet per mile

• 250 feet per mile

• 400 feet per mile

• 150 feet per mile

A bike rental service charges a flat fee of $10 plus $2 for every hour rented. If you graph the total cost against the number of hours, what is the slope of the line, and what does it represent?

• The slope of the line is 10, representing the total cost for one hour.

• The slope of the line is 0, representing no cost increase regardless of hours rented.

• The slope of the line is 5, representing the cost increase per hour rented.

• The slope of the line is 2, representing the cost increase per hour rented.

A student plots the number of books read over several months. If the graph shows that for every 3 months, the student reads 9 books, what is the slope of the line, and what does it indicate about the student's reading habits?

• 3 books per month

• 2 books per month

• 4 books per month

• 1 book per month

A factory produces 100 units of a product in the first hour and increases production by 50 units every hour. If you graph the number of units produced over time, what is the slope of the line, and what does it mean in this context?

• 50 units per hour

• 30 units per hour

• 100 units per hour

• 75 units per hour

A gardener tracks the growth of a plant over weeks. If the plant grows 12 inches in 4 weeks, what is the slope of the growth line, and how can you interpret this slope in terms of the plant's growth rate?

• The slope of the growth line is 2 inches per week.

• The slope of the growth line is 4 inches per week.

• The slope of the growth line is 3 inches per week.

• The slope of the growth line is 6 inches per week.

A car's fuel efficiency is graphed, showing that it travels 30 miles for every gallon of gas. What is the slope of this graph, and what does it tell you about the car's fuel consumption?

• 25 miles per gallon

• 30 miles per gallon

• 15 miles per gallon

• 40 miles per gallon

A school tracks the number of students enrolled over the years. If the enrollment increases from 200 to 300 students over 5 years, what is the slope of the enrollment line, and what does it indicate about the school's growth?

• 20

• 30

• 25

• 15

A runner's speed is plotted on a graph, showing that they run 5 miles in 40 minutes. What is the slope of the line, and how can you interpret this slope in terms of the runner's speed?

• 10 miles per hour

• 8 miles per hour

• 6 miles per hour

• 7.5 miles per hour

A water tank fills at a rate of 15 gallons per hour. If you graph the total gallons of water in the tank over time, what is the slope of the line, and what does it represent in this scenario?

• 5 gallons per hour

• 20 gallons per hour

• 15 gallons per hour

• 10 gallons per hour