Nicky is considering two different companies for textbook rentals. For

what number of months will Company B cost less?

• Company A charges a one-time account fee of $20 and a rental fee of

$15 per month

• Company B charges $20 per month with no other fees.

Show your work.

if youre answer has to be a whole number it would be 3 otherwise it would be x<4 (so anything less than 4)

Step-by-step explanation:

so because we are trying to find which company is less, we need to set up in inequality.

so first lets do company A

because 15 is our reoccuring fee, its going to be the coeifficient

so the equation would be

A - 15x + 20

now lets do company B

because it only 20 every month we dont need to have a constant which means the equation for B would be

B - 20x

so lets put it all together

15x + 20 > 20x (remember our B side has to be less)

now lets solve it

20 > 5x

we know that if x = 4 then the two would be equal, which means our answer would have to be 3 months.

now always check your work.

15 (3) + 20 = 65

20 (3) = 60