Question

Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Laura has the movie.

a) c(x) = 2.00x + 0.50
b)c(x) = 2.00 + 0.50x
c) c(x) = 2.50x
d)c(x) = (2.00 + 0.5

Answer 1

The cost function that represents this scenario is c(x) = 2 + 0.50x .

Option (b) is correct .

Explanation:

As given

Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie.

if x equals the number of nights Laura has the movie.

Than the cost function that represents this scenario .

c(x) = Flat fee + Cost for x equals the number of nights Laura has the movie.

c(x) = 2 + x × 0.50

c(x) = 2 + 0.50x

Therefore the cost function that represents this scenario is c (x) = 2 + 0.50x .

Option (b) is correct .

Answer 2

b)c(x) = 2.00 + 0.50x

Remember that since 2.00 is the flat fee, so there is no variable. After that, though, there is the fee of .50 which is charged every day you have a movie.

say you had the movie rented out for five days
c(5)=2.00+.50(5)
=2.00+2.5
c(5)=4.5

Hope this helped!