Linear Equations in Real-World Scenarios Challenge

A car rental company charges a flat fee of $50 plus $20 for each day the car is rented. Write the equation that represents the total cost (C) in terms of the number of days (d) rented. What is the slope of the line?

• C = 50 + 30d; slope = 30

• C = 50 + 10d; slope = 10

• C = 20d; slope = 20

• C = 50 + 20d; slope = 20

A local gym has a membership fee of $30 and charges $10 per class attended. If you graph the total cost (C) against the number of classes (c), what is the equation of the line? How much would it cost to attend 5 classes?

• $50

• $100

• $60

• $80

A farmer sells apples for $2 each and has a fixed cost of $100 for supplies. Write the equation that represents the total revenue (R) in terms of the number of apples (a) sold. What does the y-intercept represent in this scenario?

• R = 2a - 100; y-intercept represents profit when selling apples.

• R = 2a; y-intercept represents total revenue when no apples are sold.

• R = 100 + 2a; y-intercept represents fixed costs.

• R = 2a + 100; y-intercept represents total cost when no apples are sold.

A school is planning a field trip and has a budget of $500. The cost per student is $25. Write the equation for the number of students (s) that can attend based on the budget. How many students can attend if the budget is increased to $600?

• 20 students

• 24 students

• 30 students

• 15 students

A delivery service charges a base fee of $15 plus $5 for each package delivered. Write the equation for the total charge (C) based on the number of packages (p). If the total charge is $30, how many packages were delivered?

• 1

• 3

• 4

• 2

A concert venue has a seating capacity of 200 and tickets are sold for $10 each. Write the equation for the total revenue (R) based on the number of tickets (t) sold. What is the maximum revenue possible?

• $2000

• $1000

• $2500

• $1500

A bookstore sells notebooks for $3 each and has a fixed cost of $50 for supplies. Write the equation for the total cost (C) in terms of the number of notebooks (n) purchased. If a student buys 10 notebooks, what is the total cost?

• $90

• $70

• $100

• $80

A taxi company charges a flat rate of $2 plus $1.50 per mile. Write the equation for the total fare (F) based on the number of miles (m) driven. If a passenger pays $10, how many miles did they travel?

• 3 miles

• 5.33 miles

• 10 miles

• 7 miles

A subscription service charges $15 per month with an initial sign-up fee of $25. Write the equation for the total cost (C) in terms of the number of months (m) subscribed. How much would it cost for 6 months?

• $90

• $75

• $100

• $115

A local bakery sells cupcakes for $4 each and has a fixed cost of $20 for ingredients. Write the equation for the total revenue (R) based on the number of cupcakes (c) sold. If they sell 30 cupcakes, what is the total revenue?

• $100

• $150

• $80

• $120