Michelle rents a movie for a flat fee of $1.50 plus an additional $1.25 for each night she keeps the movie. choose the cost function that represents this scenario if x equals the number of nights michelle has the movie. a. c(x) = 1.50 + 1.25x b. c(x) = 1.50x + 1.25 c. c(x) = 2.75 d. c(x) = (1.50 + 1.25)x

a) C(x) = 1.50 +1.25x

Step-by-step explanation:

Hi there!

Since the number of nights is open, and $1.25 depends on its value we call it the dependent variable. This is why x = number of nights (1,2,3,...) The flat fee exists for making it profitable since the movie leaves the Video Rental.

This function works for any number of nights returning the cost for the customer.

That's why it's

a) Correct! C(x) = 1.50 +1.25x

b) Wrong. Since the flat fee is $1.50 and this amount does not depend on anything.

c) Wrong. C(x) =2.75 This is equivalent to say that all that every customer should pay would be $2.75. Not the case.

d) Wrong. C(x) = (1.50 + 1.25)x This is equivalent to say that there's no flat fee.