Exploring Slopes and Intercepts in Linear Word Problems

A store sells pencils for $2 each. Create a table showing the total cost for 1 to 5 pencils. What is the slope of the line that represents this situation?

• The slope is 2.

• The slope is 1.

• The slope is 3.

• The slope is 0.5.

A car rental company charges a flat fee of $30 plus $0.50 per mile driven. Make a graph of the total cost for driving 0 to 100 miles. What is the y-intercept?

• 25

• 30

• 35

• 40

A gardener plants 3 rows of flowers, with each row containing 4 flowers. If the number of flowers is represented as a linear equation, what is the slope if the number of rows increases?

• 8

• 12

• 4

• 3

A school is selling tickets for a play. Each ticket costs $10. Create a table showing the total cost for 1 to 6 tickets. What is the slope of the line?

• The slope of the line is 20.

• The slope of the line is 10.

• The slope of the line is 5.

• The slope of the line is 15.

A bike rental shop charges $15 for the first hour and $5 for each additional hour. Graph the total cost for up to 5 hours. What is the slope of the line?

• 5

• 7

• 3

• 10

A bakery sells cupcakes for $3 each. If you buy 10 cupcakes, how much will it cost? Create a table for 1 to 10 cupcakes and identify the slope.

• $20

• $25

• $35

• $30

A gym charges a monthly fee of $20 plus $10 for each class attended. Create a graph showing the total cost for attending 0 to 5 classes. What is the y-intercept?

• $30

• $10

• $50

• $20

A farmer sells apples for $1.50 per pound. Create a table showing the total cost for 1 to 8 pounds. What is the slope of the line?

• The slope of the line is 1.50.

• The slope of the line is $0.75.

• The slope of the line is 3.00.

• The slope of the line is 2.00.

A phone company charges $50 for a plan plus $0.10 per text message. Make a graph of the total cost for sending 0 to 50 messages. What is the slope?

• 1.00

• 0.05

• 0.10

• 0.50

A library fines $0.25 for each day a book is overdue. Create a table showing the total fine for 1 to 7 days. What is the slope of the line?

• The slope of the line is 1.00.

• The slope of the line is 0.50.

• The slope of the line is 0.25.

• The slope of the line is 0.10.