Question

LaToya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginner's fee of $100 and a monthly fee of $38. If x represents the number of months that LaToya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:

100 + 38x = C

LaToya has allocated a maximum of $404 to spend on her gym membership. Which number line shows the possible number of months that LaToya can be a member of the gym?

Answer 1

A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 0 to 8 is bold with shaded circles at 0 and at 8

A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 1 to 13 is bold with shaded circles at 1 and at 13

A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 0 to 13 is bold with shaded circles at 0 and at 13

A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 1 to 8 is bold with shaded circles at 1 and at 8

Answer 2

@texaschic101 , @paki

Answer 3

@Michele_Laino

Answer 4

@Vocaloid

Answer 5

I am completely stumped.

Answer 6

here we have to solve this inequality:
\[100 + 38x \leqslant 404\]
with the additive condition \(x \geqslant 0\)

Answer 7

I can't see the equation you put

Answer 8

here is the inequality:
\[100 + 38x \leqslant 404\]
do you see it now?

Answer 9

Yes, now I do

Answer 10

Okay, now what?

Answer 11

we have to solve that inequality

Answer 12

first step:
I subtract 100 from both sides:
\[\begin{gathered}
100 + 38x - 100 \leqslant 404 - 100 \hfill \\
38x \leqslant 304 \hfill \\
\end{gathered} \]

Answer 13

now, I divide both sides by 38, what do you get?

Answer 14

x \[x \le8\] ?

Answer 15

yes!

Answer 16

Okay, so the answer would be D?

Answer 17

I'm thinking, please wait

Answer 18

Okay

Answer 19

I think option A, since if I pay 100$ I am already a member of the gym

Answer 20

oh okay.

Answer 21

Let ,me take a screen shot real quick and show you.

Answer 22

ok!

Answer 23

There it is

Answer 24

I am undecided between the first and the last option

Answer 25

If I pay 100$ only, then I am already a member of the gym

Answer 26

I confirm option A