Solving Linear Equations in Real-World Contexts

A school is planning a field trip. The cost per student is $15, and there is a fixed cost of $120 for the bus. Write the equation in standard form to represent the total cost, C, for x students. How many students can attend if the total budget is $600?

• 40

• 25

• 50

• 32

A local bakery sells cupcakes for $3 each and cookies for $2 each. If the bakery wants to make $60 in total sales, write the equation in standard form. How many cupcakes and cookies can they sell if they sell 10 cupcakes?

• 10 cupcakes and 20 cookies

• 10 cupcakes and 15 cookies

• 5 cupcakes and 25 cookies

• 15 cupcakes and 5 cookies

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation in standard form to represent the total cost, C, for renting a car and driving m miles. How much will it cost to drive 150 miles?

• $100

• $120

• $80

• $60

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write the equation in standard form to represent the total cost, C, for attending x classes in a month. If a member attends 8 classes, what is their total cost?

• $50

• $70

• $100

• $80

A bookstore sells novels for $12 each and magazines for $5 each. If the store wants to make $300 in sales, write the equation in standard form. How many novels can they sell if they sell 10 magazines?

• 25

• 30

• 20

• 15

A taxi company charges a base fare of $3 plus $2 per mile. Write the equation in standard form to represent the total fare, F, for m miles driven. How much will the fare be for a 10-mile trip?

• $18

• $30

• $23

• $15

A charity event sells tickets for $25 each and aims to raise $1,000. Write the equation in standard form to represent the total amount raised, R, from selling t tickets. How many tickets need to be sold to reach the goal?

• 30

• 40

• 20

• 50

A restaurant offers a special deal of 2 pizzas for $20. If they want to sell 50 pizzas, write the equation in standard form to represent the total revenue, R, from selling p pizzas. How much revenue will they make if they sell 30 pizzas?

• $400

• $300

• $200

• $150