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

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !