Slope-Intercept Equations: Real-World Applications & Solutions

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation in slope-intercept form to represent the total cost (C) as a function of miles driven (m). What is the cost for driving 50 miles?

• $30

• $60

• $40

• $50

A phone plan costs $25 per month plus $0.10 per text message. Write the equation in slope-intercept form for the total cost (C) based on the number of text messages (t) sent. If a customer sends 100 messages, what is their total cost?

• $35

• $15

• $25

• $50

Two friends are saving money for a concert. Friend A saves $15 each week, while Friend B saves $10 each week but started with $20. Write a system of equations to represent their savings over time. How many weeks will it take for their savings to be equal?

• 4 weeks

• 10 weeks

• 6 weeks

• 2 weeks

A store sells notebooks for $2 each and pens for $1 each. If a student buys a total of 10 items and spends $16, write a system of equations to represent this situation. How many notebooks and pens did the student buy?

• 4 notebooks and 6 pens

• 5 notebooks and 5 pens

• 6 notebooks and 4 pens

• 7 notebooks and 3 pens

A gardener is planting flowers in two different types of pots. Pot A holds 5 flowers and Pot B holds 3 flowers. If the gardener has 24 flowers and wants to use a total of 6 pots, write a system of equations to find how many pots of each type are used. What is the solution in context?

• 4 pots of type A and 2 pots of type B

• 3 pots of type A and 3 pots of type B

• 5 pots of type A and 1 pot of type B

• 2 pots of type A and 4 pots of type B

A taxi company charges a base fare of $3 plus $0.50 per mile. Write the equation in slope-intercept form for the total fare (F) based on the number of miles (m) driven. If a customer pays $10, how many miles did they travel?

• 14 miles

• 12 miles

• 20 miles

• 8 miles

A local gym charges a monthly fee of $40 plus $5 for each class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c) attended. If a member pays $70, how many classes did they attend?

• 4

• 8

• 6

• 10

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, write a system of equations to represent the situation. How many adult and student tickets were sold?

• 40 adult tickets and 10 student tickets were sold.

• 30 adult tickets and 20 student tickets were sold.

• 20 adult tickets and 30 student tickets were sold.

• 25 adult tickets and 25 student tickets were sold.

A delivery service charges a flat fee of $15 plus $2 per mile. Write the equation in slope-intercept form for the total delivery cost (D) based on the distance (d) in miles. If a customer pays $27, how far did the delivery go?

• 4 miles

• 8 miles

• 6 miles

• 10 miles

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 12 items and spends $30, write a system of equations to represent this situation. How many cupcakes and cookies did the customer buy?

• 6 cupcakes and 6 cookies

• 8 cupcakes and 4 cookies

• 10 cupcakes and 2 cookies

• 4 cupcakes and 8 cookies