Real-Life Linear Equations: Costs and Revenues Quiz

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). If another company charges $50 flat with $0.15 per mile, find the number of miles where both companies charge the same amount.

• 400 miles

• 300 miles

• 500 miles

• 350 miles

A local gym offers a membership for $25 per month plus $5 per class. Write the equation for the total cost (C) in terms of the number of classes (c). If another gym charges $15 per month with $8 per class, determine how many classes you need to take for both gyms to cost the same.

• 2

• 6

• 4

• 8

A school is selling tickets for a play. The cost of a ticket is $10 for students and $15 for adults. Write the equations for the total revenue (R) from students (s) and adults (a). How many tickets must be sold to make the same revenue from both groups if 100 student tickets are sold?

• 50

• 67

• 100

• 80

A phone plan charges a base fee of $40 and $0.10 per text message. Write the equation for the total cost (C) in terms of the number of text messages (t). If another plan charges $30 with $0.15 per text, find the number of texts where both plans cost the same.

• 250

• 200

• 100

• 150

A delivery service charges a flat fee of $5 plus $2 per mile. Write the equation for the total cost (C) in terms of miles (m). If another service charges $10 flat with $1.50 per mile, how many miles would make both services equal in cost?

• 10 miles

• 20 miles

• 5 miles

• 15 miles

A bakery sells cupcakes for $3 each and cookies for $2 each. Write the equations for the total sales (S) from cupcakes (c) and cookies (k). If the bakery wants to make $60, how many of each item must they sell if they sell an equal number of both?

• 15 cupcakes and 5 cookies

• 10 cupcakes and 10 cookies

• 20 cupcakes and 0 cookies

• 12 cupcakes and 12 cookies

A landscaping company charges $50 for a basic service plus $25 per hour of additional work. Write the equation for the total cost (C) in terms of hours worked (h). If another company charges $75 flat with $20 per hour, find the number of hours where both companies charge the same amount.

• 7

• 3

• 10

• 5

A concert venue sells tickets for $50 each and has a fixed cost of $2000 for the event. Write the equation for total revenue (R) in terms of the number of tickets sold (t). If another venue has a fixed cost of $1500 and sells tickets for $60, how many tickets must be sold for both venues to have the same revenue?

• 70

• 50

• 40

• 60

A subscription service charges $10 per month plus $2 per movie rental. Write the equation for the total cost (C) in terms of the number of movies rented (m). If another service charges $5 per month with $3 per movie, find the number of movies rented where both services cost the same.

• 5

• 3

• 7

• 10

A farmer sells apples for $1.50 per pound and oranges for $2.00 per pound. Write the equations for the total revenue (R) from apples (a) and oranges (o). If the farmer wants to make $100, how many pounds of each fruit must be sold if they sell an equal amount of both?

• 30 pounds of apples and 30 pounds of oranges.

• 50 pounds of apples and 10 pounds of oranges.

• 20 pounds of apples and 40 pounds of oranges.

• Approximately 28.57 pounds of apples and 28.57 pounds of oranges.