Creating and Interpreting Function Rules for Grade 6

1. A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write a function rule to represent the total cost, C, as a function of miles driven, m. What is the cost if you drive 100 miles?

• $35

• $40

• $25

• $50

2. The function f(x) = 3x + 5 represents the number of books read by a student in x weeks. How many books will the student read in 4 weeks?

• 10

• 12

• 20

• 17

3. A local bakery sells cupcakes for $2 each. Write a function rule for the total cost, C, in terms of the number of cupcakes, n. If you buy 12 cupcakes, what is the total cost?

• $24

• $18

• $30

• $12

4. The function g(t) = 2t - 4 shows the temperature in degrees Fahrenheit, t hours after noon. What is the temperature at 5 PM (t = 5)?

• 10 degrees Fahrenheit

• -2 degrees Fahrenheit

• 15 degrees Fahrenheit

• 6 degrees Fahrenheit

5. A gym charges a monthly fee of $30 plus $5 for each class attended. Write a function rule for the total cost, C, in terms of the number of classes, c. If you attend 8 classes, what is the total cost?

• $80

• $50

• $70

• $100

6. The function h(x) = x^2 + 2x represents the area of a garden in square feet, where x is the length of one side in feet. What is the area if the side length is 3 feet?

• 9 square feet

• 12 square feet

• 15 square feet

• 18 square feet

7. A phone plan costs $25 per month plus $0.10 per text message sent. Write a function rule for the total cost, C, in terms of the number of text messages, m. If you send 50 messages, what is the total cost?

• $25

• $50

• $15

• $30

8. The function j(x) = 5x - 10 represents the profit in dollars from selling x items. What is the profit if 10 items are sold?

• 50

• 30

• 20

• 40

9. A school is selling tickets for a play at $8 each. Write a function rule for the total revenue, R, in terms of the number of tickets sold, t. If 150 tickets are sold, what is the total revenue?

• $1500

• $1000

• 1200

• $800

10. The function k(d) = 4d + 1 represents the distance in miles, d hours after starting a trip. How far will you have traveled after 3 hours?

• 15 miles

• 10 miles

• 13 miles

• 20 miles