Real-World Slopes: Analyze & Calculate for 8th Graders

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. What is the slope of the cost function, and what does it represent in this context?

• $50

• 0.20

• $0.10 per mile

• 0.50

A gardener is planting trees in a straight line. If he plants 5 trees in 2 hours, what is the slope of the line representing the number of trees planted over time?

• 1 tree per hour

• 5 trees per hour

• 10 trees per hour

• 2.5 trees per hour

A student scores 80 points on a test and then scores 90 points on the next test. If the tests are taken 2 weeks apart, what is the slope of the line representing the student's score over time?

• 20

• 15

• 10

• 5

A bike rental shop charges a one-time fee of $15 and $5 for each hour of rental. What is the y-intercept of the cost function, and what does it represent?

• 15

• 20

• 25

• 10

A factory produces 100 units of a product in 4 hours. If the production rate remains constant, what is the slope of the line representing units produced over time?

• 40

• 25

• 30

• 20

A phone plan costs $30 per month plus $0.10 per text message. What does the slope of the cost function indicate about the cost of sending text messages?

• The slope indicates that each text message costs an additional $0.10.

• The slope indicates that sending a text message is free.

• The slope indicates that the cost decreases with each text message sent.

• The slope indicates a flat rate for unlimited text messages.

A runner completes a 5K race in 25 minutes. If the runner maintains a constant speed, what is the slope of the line representing distance over time?

• 8 km/h

• 10 km/h

• 12 km/h

• 15 km/h

A restaurant's daily sales are represented by the equation y = 200 + 15x, where x is the number of hours open. What is the slope, and what does it indicate about sales?

• The slope is 200, indicating that sales decrease by $200 for each additional hour open.

• The slope is 15, indicating that sales remain constant regardless of hours open.

• The slope is 15, indicating that sales increase by $15 for each additional hour open.

• The slope is 10, indicating that sales increase by $10 for each additional hour open.

A water tank is being filled at a rate of 3 liters per minute. If the tank starts empty, what is the slope of the line representing the volume of water in the tank over time?

• 2 liters per minute

• 3 liters per minute

• 1 liter per minute

• 5 liters per minute

A school is planning to build a new playground. The cost is estimated to be $10,000 plus $500 for each additional feature. What is the y-intercept, and what does it represent in this scenario?

• $15,000

• $5,000

• $10,000

• $1,000