Question

5. Molly subscribed to a new streaming service. The monthly cost includes a $9 base fee plus $0.50 for each

show she watches. (1.5 notes)
a. Write an equation that models c, the total monthly cost, based on w, the number of shows Molly
watches.
b. If Molly watches 5 shows in a single month, how much will she need to pay?

Answer 1

a.
`c = 9 + 0.5w`

b. She'll pay $11.5

Explanation:

Given

Base Fee = $9

Additional Fee = $0.50 per show

Solving (a): Find the relationship between c and w

c = Monthly cost

w = Number of shows

c = Base Fee + Additional Fee * Number of Shows

`c = 9 + 0.5 * w`

`c = 9 + 0.5w`

Solving (b): Find c if w = 5

`c = 9 + 0.5w`

Substitute 5 for w

`c = 9 + 0.5 * 5`

`c = 9 + 2.5`

`c = 11.5`

Hence, She'll pay $11.5