Exploring Linear Equations: Slope and Cost Equations

1. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives 100 miles, what is the total cost? Write the equation for the total cost based on miles driven.

• $90

• $70

• $80

• $60

2. Two friends, Alice and Bob, start a lemonade stand. Alice sells 10 cups for $15, and Bob sells 20 cups for $30. What is the slope of the line representing their earnings?

• 2.0

• 1.0

• 1.5

• 3.0

3. A gardener plants two types of flowers. The first type yields 5 flowers for every 2 plants, while the second type yields 15 flowers for every 6 plants. Write the equation that represents the relationship between the number of plants and flowers for each type.

• flowers1 = (5/2) * plants1, flowers2 = (5/2) * plants2

• flowers1 = (5/3) * plants1, flowers2 = (15/4) * plants2

• flowers1 = (10/4) * plants1, flowers2 = (3/5) * plants2

• flowers1 = (2/5) * plants1, flowers2 = (6/15) * plants2

4. A bike shop sells bikes for $200 each and offers a discount of $50 for every additional bike purchased. If a customer buys 3 bikes, what is the total cost? Write the equation for the total cost based on the number of bikes purchased.

• $350

• $450

• $500

• $600

5. A school is planning a field trip. The cost per student is $30 for the first 10 students and $25 for each additional student. If 15 students sign up, what is the total cost? Write the equation for the total cost based on the number of students.

• 500

• 425

• 350

• 400

6. A delivery service charges a base fee of $10 plus $1.50 per mile. If a delivery is made for 5 miles, what is the total charge? Identify the slope from the points (0, 10) and (5, 17.5).

• $20.00

• $12.50

• $15.00

• $17.50

7. A local bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys 4 cupcakes and 6 cookies, what is the total cost? Write the equation for the total cost based on the number of cupcakes and cookies purchased.

• 18

• 24

• 20

• 30

8. A fitness center charges a monthly fee of $40 plus $5 for each class attended. If a member attends 8 classes in a month, what is the total fee? Write the equation for the total fee based on the number of classes attended.

• $100

• $80

• $60

• $50

9. A bookstore sells novels for $12 each and textbooks for $25 each. If a customer buys 3 novels and 2 textbooks, what is the total cost? Write the equation for the total cost based on the number of novels and textbooks purchased.

• $86

• $50

• $100

• $75

10. A taxi company charges a flat rate of $3 plus $2 per mile. If a passenger travels 10 miles, what is the total fare? Identify the slope from the points (0, 3) and (10, 23).

• $15

• $20

• $30

• $23