Your DVD membership costs $16 per month for 10 DVD rentals. Each additional DVD rental is $2. a. Write an equation in two variables that represents the monthly cost of your DVD rentals. b. Identify the independent and dependent variables. c. How much does it cost to rent 15 DVDs in one month?

Question

Mathematics

Parker Bridges

4 September, 19:13

Your DVD membership costs $16 per month for 10 DVD rentals. Each additional DVD rental is $2. a. Write an equation in two variables that represents the monthly cost of your DVD rentals. b. Identify the independent and dependent variables. c. How much does it cost to rent 15 DVDs in one month?

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Answers (1)

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Isai Krueger · Answer 1

a. C (x) = $16, if 0 ≤ x ≤ 10

C (x) = 2x - 4 if x > 10

b. Independent: Number of DVD rentals

Dependent: Monthly cost of rentals

c. $26

Step-by-step explanation:

a. The cost (C) of renting 'x' DVDs is given by:

If 10 ≤ x ≤ 10

C (x) = $16

If x > 10

C (x) = 16 + 2 (x-10)

C (x) = 2x - 4

b. Since the cost depends on the number of DVD rentals, cost is the dependent variable and number of DVD rentals is the independent variable.

c. For x = 15:

C (15) = 2*15 - 4

C (15) = $26

It costs $26 to tent 15 DVDs in one month