Calculate Slope in Real-Life Linear Relationships

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) based on the number of miles (m) driven. What is the slope of this relationship?

• The slope is 1.00.

• The slope is 0.50.

• The slope is 0.10.

• The slope is 0.20.

A gardener plants 5 trees in the first week and 3 more trees each subsequent week. If we let w represent the week number and t represent the total number of trees planted, what is the slope of the linear relationship?

• 3

• 2

• 4

• 5

A phone company offers a plan that costs $30 per month plus $0.10 per text message. If x represents the number of text messages sent, write the equation for the total monthly cost (C). What does the slope represent in this context?

• C = 30 + 0.05x; The slope represents the total cost.

• C = 30 + 0.10x; The slope (0.10) represents the cost per text message.

• C = 30 + 0.20x; The slope represents the monthly fee.

• C = 30 + 0.10x; The slope represents the number of text messages.

Tags

CCSS.HSF.LE.B.5

A student scores 75 points on their first test and increases their score by 5 points on each subsequent test. If t represents the test number and s represents the score, what is the slope of the linear relationship?

• 5

• 0

• 3

• 10

A factory produces 100 units of a product in the first hour and increases production by 20 units every hour. Write the equation for the number of units produced (P) based on the number of hours (h). What is the slope?

• P = 80 + 20h; slope = 20

• P = 100h; slope = 100

• P = 100 + 10h; slope = 10

• P = 100 + 20h; slope = 20

A bike shop sells bikes for $200 each and offers a discount of $20 for every bike purchased. If b represents the number of bikes bought and C represents the total cost, what is the slope of the linear relationship?

• 150

• 160

• 200

• 180

A train travels 60 miles in the first hour and continues at a constant speed of 60 miles per hour. If t represents time in hours and d represents distance traveled, what is the slope of the line representing this relationship?

• 120

• 60

• 30

• 90

Tags

CCSS.8.EE.B.5

A bookstore sells novels for $15 each and textbooks for $25 each. If n represents the number of novels and t represents the total cost, what is the slope of the linear relationship if only novels are purchased?

• 15

• 20

• 10

• 30

Tags

CCSS.HSF.LE.B.5

A local gym charges a membership fee of $40 plus $5 for each class attended. If c represents the number of classes attended, write the equation for the total cost (T). What does the slope indicate?

• T = 40 + 5c; The slope indicates that each class attended adds $5 to the total cost.

• T = 20 + 5c; The slope indicates that each class attended adds $5 to the total cost, but with a lower base fee.

• T = 40 - 5c; The slope indicates a decrease in cost with each class attended.

• T = 40 + 10c; The slope indicates that each class attended adds $10 to the total cost.

Tags

CCSS.HSF.LE.B.5

A delivery service charges a base fee of $10 plus $2 for each mile driven. If m represents the miles driven and C represents the total cost, what is the slope of this linear relationship?

• 2

• 5

• 10

• 0

Tags

CCSS.8.EE.B.5