Please answer this

Question

Flemock's movie rental costs $5 per rental. Deckly's membersip costs $20 plus $3 for rental. Which answer choice shows deckly's movie rental is less than Flemock's if, m, is the movie rental?

A. m ≤ 10

B. m ≥ 10

C. m > 10

D. m < 10

Answer 1

Hi, Olivia.

Okay, so let's look at the scenario if m = 10:

Flemock pays $5/movie. So if m = 10, he would pay 5 x 10 = 50 dollars

Deckly pays $20 + $3(m). So if m = 10, he pays $20 + $30 = $50

So, if m = 10, they each pay $50.

m = 10 is a critical point because that is where they pay the same price. However, if m > 10, Flemock will

still pay $5 for each additional movie, but Deckly will only pay $3 for each additional movie.

For example,

if m = 11:

Flemock pays 11 x 5 = $55

Deckly pays $20 + $3(11) = $53

Therefore, for Deckly's rental to be less that Flemock's, he must be renting more than 10 movies.

C. m > 10 is your answer.