Real-Life Linear Systems: Solve and Interpret Slope

1. A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation for the total cost (C) in slope-intercept form. If you drive 100 miles, how much will it cost?

• $70

• $50

• $40

• $60

2. A gym charges a monthly membership fee of $25 and an additional $5 per fitness class attended. Write the equation for the total cost (C) in slope-intercept form. How much would it cost if you attend 10 classes?

• $50

• $75

• $60

• $100

3. A phone plan costs $40 per month plus $0.10 for each text message sent. Write the equation for the total cost (C) in slope-intercept form. If you send 200 messages, what is your total bill?

• $50

• $60

• $80

• $70

4. A bakery sells cupcakes for $3 each and cookies for $2 each. If you buy a total of 10 items for $24, write a system of equations to represent the situation. How many cupcakes and cookies did you buy?

• 2 cupcakes and 8 cookies

• 5 cupcakes and 5 cookies

• 3 cupcakes and 7 cookies

• 4 cupcakes and 6 cookies

5. A school is selling tickets for a play. Adult tickets are $10 and student tickets are $5. If the total revenue from ticket sales is $300 and 40 tickets were sold, write a system of equations to find the number of adult and student tickets sold.

• x + y = 40; 10x + 2y = 300

• x + y = 40; 10x + 5y = 300

• x + y = 50; 10x + 5y = 250

• x + y = 30; 10x + 5y = 200

6. A delivery service charges a base fee of $15 plus $1.50 per mile. Write the equation for the total cost (C) in slope-intercept form. If a delivery is 10 miles, what is the total cost?

• $25

• $35

• $30

• $40

7. A local farmer sells apples for $2 per pound and oranges for $3 per pound. If a customer buys a total of 15 pounds of fruit for $36, write a system of equations to find out how many pounds of each fruit were purchased.

• x + y = 10, 2x + 3y = 40

• x + y = 15, 2x + 3y = 36

• x + y = 15, 2x + 3y = 30

• x + y = 20, 2x + 3y = 30

8. A concert venue has a seating capacity of 500. If tickets are sold for $20 each and VIP tickets for $50 each, and the total revenue is $8000, write a system of equations to determine how many regular and VIP tickets were sold.

• x + y = 400, 20x + 50y = 6000

• x + y = 500, 25x + 45y = 8000

• x + y = 500, 20x + 50y = 8000

• x + y = 600, 20x + 50y = 10000

9. A bookstore sells novels for $15 and textbooks for $30. If a customer buys 5 books for a total of $120, write a system of equations to find out how many novels and textbooks were purchased.

• 4 novels and 1 textbook

• 2 novels and 3 textbooks

• 3 novels and 2 textbooks

• 5 novels and 0 textbooks

10. A taxi company charges a flat rate of $5 plus $2 per mile. Write the equation for the total fare (F) in slope-intercept form. If a ride is 8 miles long, what will the fare be?

• $25

• $21

• $18

• $15