Understanding Slope: Real-Life Linear Graphs Quiz

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If you drive 100 miles, what is the total cost? Use the graph to find the cost for 100 miles and identify the slope of the line.

• $70

• $100

• $90

• $50

A school is tracking the number of books read by students over a month. The graph shows that on day 1, 5 books were read, and by day 10, 50 books were read. What is the slope of the line, and what does it represent in this context?

• 25

• 100

• 10

• 5

A gardener measures the growth of a plant over several weeks. The graph shows that the plant grew from 2 inches to 10 inches over 4 weeks. What is the slope of the line, and what does it indicate about the plant's growth rate?

• 3 inches per week

• 2 inches per week

• 5 inches per week

• 1 inch per week

A local gym tracks the number of members over a year. The graph shows that in January, there were 200 members, and by December, there were 500 members. What is the slope of the line, and what does it tell you about the gym's growth in membership?

• The slope of the line is 10, suggesting no change in membership over the year.

• The slope of the line is 50, indicating an average growth of 50 members per month.

• The slope of the line is 25, indicating an average growth of 25 members per month.

• The slope of the line is 15, indicating a decline in membership.

A delivery service records the time taken to deliver packages. The graph shows that for every additional mile, the delivery time increases by 2 minutes. If a package is delivered 5 miles away, how long will it take? What is the slope of the line?

• 10 minutes; slope is 2

• 15 minutes; slope is 3

• 20 minutes; slope is 4

• 5 minutes; slope is 1

A factory produces 100 toys in the first hour and 300 toys in the third hour. Using the graph, determine the slope and explain what it means in terms of production rate.

• 200 toys per hour

• 150 toys per hour

• 250 toys per hour

• 100 toys per hour

A bike rental service charges $15 for the first hour and $5 for each additional hour. If you rent a bike for 4 hours, how much will it cost? Use the graph to find the total cost and identify the slope.

• $30

• $40

• $35

• $25

A student tracks their study hours and grades over a semester. The graph shows that for every 2 hours studied, the grade increases by 10 points. What is the slope, and how does it relate to the student's performance?

• The slope is 2.

• The slope is 10.

• The slope is 15.

• The slope is 5.

A city measures the increase in population over a decade. The graph shows a rise from 50,000 to 80,000 residents over 10 years. What is the slope of the line, and what does it indicate about the population growth?

• 5,000 residents per year

• 2,000 residents per year

• 3,000 residents per year

• 1,000 residents per year

A water tank fills at a constant rate. The graph shows that it takes 30 minutes to fill half the tank. What is the slope of the line, and how long will it take to fill the entire tank?

• 120 minutes

• 60 minutes

• 90 minutes

• 45 minutes