## RealityWillSlapYou 2 years ago I need help and I will give a medal!

1. RealityWillSlapYou

Aldora decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a joining fee of \$100 and a monthly fee of \$36. If x represents the number of months that Aldora 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 + 36x = C Aldora has allocated a maximum of \$352 to spend on her gym membership. Which number line shows the possible number of months that Aldora can be a member of the gym?

2. RealityWillSlapYou

@phi, here

3. phi

they want to know how many months she can afford. the cost is 100 + 36x = C if we replace C with the max amount she will pay, 352, we have 100 + 36x ≤ 352 I made it less than or equal, so she can spend up to 352, but does not have to

4. RealityWillSlapYou

Okay, so how would I have to solve this?

5. phi

also, they say Aldora decides to join a gym for a minimum of one month so 1 is the least number of months

6. RealityWillSlapYou

Alright......

7. phi

Based on 1 month is the minimum, can you rule out any of the 4 choices ?

8. RealityWillSlapYou

You can rule out D. because she doesn't need a membership for a year (12 month)

9. RealityWillSlapYou

Hi @SmokeysTheName chacking up on me huh?

10. RealityWillSlapYou

* Checking

11. SmokeysTheName

yes i am!

12. phi

You can rule out D. because she doesn't need a membership for a year (12 month) it does not say that. She may not be able to afford it, but we have to figure that out. look at the graphs. the dark line shows the number of months she could have the membership. But we know she will have at least one month.

13. RealityWillSlapYou

Okay....

14. phi

She could decide to join for only 2 months. so any answer should show that. look at the graphs.

15. RealityWillSlapYou

Yeah....

16. phi

do you know what the graph shows ? if you see a dark black line, then she could be a member that many months (the x value at that point on the line) one of the graphs shows she can't be a member for 1 month. that one is wrong.

17. RealityWillSlapYou

So we rule out C

18. phi

now figure out the max number of months she can afford 100 + 36x = 352 first she pays the 100 joining fee, leaving her with 352-100= 252 36x = 252 now divide by 36 both sides 36x/36 = 252/36 x = 7 she can afford 7 months. so I would look for a line that goes from 1 to 7, completely solid btw, an open circle means that value is not included. we want a solid circle at the 7

19. RealityWillSlapYou

That means the answer is B!

20. phi

yes, B notice A should have been ruled out immediately.

21. SmokeysTheName

@RealityWillSlapYou you're a good learner (: @phi you're a good teacher (:

22. RealityWillSlapYou

Thank you.... :D

23. SmokeysTheName

You're Welcome (:

24. RealityWillSlapYou

Thank you @phi!! :D

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