Real-Life Linear Equations: Slope, Intercept & Word Problems

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write an equation to represent the total cost (C) in terms of miles driven (m). What is the slope and y-intercept of this equation?

• Slope: 0.20, Y-intercept: 15

• Slope: 0.15, Y-intercept: 20

• Slope: 0.10, Y-intercept: 25

• Slope: 20, Y-intercept: 0.15

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. Identify the slope and intercept.

• C = 30 + 10c; Slope = 10, Intercept = 30

• C = 30 + 5c; Slope = 5, Intercept = 30

• C = 30 + 2c; Slope = 2, Intercept = 30

• C = 25 + 5c; Slope = 5, Intercept = 25

A phone plan costs $25 per month plus $0.10 for each text message sent. If you send 50 messages in a month, how much will your total bill be? Write the equation and identify the slope and intercept.

• $30

• $40

• $25

• $35

A store sells notebooks for $2 each and pens for $1 each. If you buy a total of 10 items for $16, write a system of equations to represent the situation and find the number of notebooks and pens purchased.

• 6 notebooks and 4 pens

• 5 notebooks and 5 pens

• 7 notebooks and 3 pens

• 4 notebooks and 6 pens

A taxi charges a base fare of $3 plus $2 for every mile driven. Write an equation for the total fare (F) based on the distance (d) traveled. What does the slope represent in this context?

• F = 3 + 2d; the slope represents the cost per mile driven.

• F = 2d; the slope represents the distance traveled.

• F = 3d + 2; the slope represents the total fare.

• F = 2 + 3d; the slope represents the base fare.

A gardener charges a flat fee of $50 for a landscaping job plus $15 per hour of work. Write an equation for the total cost (C) based on hours worked (h). Identify the slope and intercept.

• C = 50 + 15h; Slope: 15, Intercept: 50

• C = 30 + 15h; Slope: 15, Intercept: 30

• C = 50 + 20h; Slope: 20, Intercept: 50

• C = 50 + 10h; Slope: 10, Intercept: 50

A concert ticket costs $50, and there is a service fee of $10. Write an equation to represent the total cost (C) of buying t tickets. What is the slope and y-intercept?

• Slope: 50, Y-intercept: 20

• Slope: 60, Y-intercept: 0

• Slope: 10, Y-intercept: 50

• Slope: 50, Y-intercept: 10

A delivery service charges a fee of $5 plus $0.50 per mile. If you need to travel 20 miles, how much will the total cost be? Write the equation and identify the slope and intercept.

• $15

• $30

• $25

• $10

A school is selling tickets for a play at $8 each. If they sell 100 tickets, they will earn $800. Write an equation to represent the total earnings (E) based on the number of tickets sold (t). What is the slope?

• The slope is 12.

• The slope is 10.

• The slope is 5.

• The slope is 8.

A local bakery sells cupcakes for $3 each and cookies for $2 each. If you buy a total of 12 items for $30, write a system of equations to find out how many cupcakes and cookies you bought.

• 5 cupcakes and 7 cookies

• 10 cupcakes and 2 cookies

• 6 cupcakes and 6 cookies

• 8 cupcakes and 4 cookies