Slope-Intercept Form: Word Problems & Equations for 8th Grade

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form that represents the total cost (C) as a function of miles driven (m).

• C = 0.15m - 20

• C = 0.20m + 15

• C = 20m + 0.15

• C = 0.15m + 20

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 each week, while Jamie saves $3 each week. Write the equations for the amount saved by each friend after w weeks and find out when they will have the same amount saved.

• They will have the same amount saved after 5 weeks.

• They will have the same amount saved after 2 weeks.

• They will have the same amount saved after 1 week.

• They will have the same amount saved after 0 weeks.

A local gym charges a monthly membership fee of $30 plus $10 for each class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c) attended in a month.

• C = 30 + 10c

• C = 30c + 10

• C = 10c + 30

• C = 10c + 20

A bakery sells cupcakes for $2 each and cookies for $1 each. If a customer buys a total of 10 items for $18, write a system of equations to represent the situation and find how many cupcakes and cookies were bought.

• 5 cupcakes and 5 cookies

• 6 cupcakes and 4 cookies

• 10 cookies and 0 cupcakes

• 8 cupcakes and 2 cookies

A phone plan costs $25 per month plus $0.10 per minute. Write the equation in slope-intercept form for the total cost (C) based on the number of minutes (m) used. How much would it cost for 200 minutes?

• $55

• $45

• $30

• $75

A school is planning a field trip. The cost per student is $15, and there is a fixed cost of $200 for the bus. Write the equation in slope-intercept form for the total cost (C) based on the number of students (s) attending. How much would it cost for 30 students?

• $500

• $750

• $800

• $650

A gardener charges a flat fee of $50 for a landscaping job plus $25 per hour worked. Write the equation in slope-intercept form for the total cost (C) based on the number of hours (h) worked. How much would it cost for 4 hours of work?

• $150

• $75

• $200

• $100

A bookstore sells novels for $10 each and textbooks for $20 each. If a customer buys a total of 5 books for $70, write a system of equations to represent the situation and determine how many novels and textbooks were purchased.

• 2 novels and 3 textbooks

• 4 novels and 1 textbook

• 3 novels and 2 textbooks

• 1 novel and 4 textbooks

A taxi company charges a base fare of $3 plus $2 per mile. Write the equation in slope-intercept form for the total fare (F) based on the number of miles (m) traveled. How much would a ride of 10 miles cost?

• $15

• $23

• $30

• $18

A subscription service charges $12 per month plus a one-time setup fee of $50. Write the equation in slope-intercept form for the total cost (C) based on the number of months (m) subscribed. What is the total cost after 6 months?

• $100

• $72

• $150

• $122