Monisha 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 $37. If x represents the number of months that Monisha 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 + 37x = C Monisha has allocated a maximum of $285 to spend on her gym membership. Which number line shows the possible number of months that Monisha can be a member of the gym?

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kategrier17 kategrier17 · Answer 1 · 2017-06-04T18:21:03+02:00

5 100+(37*5)=100+185=285. So 5 is your answer

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parmesanchilliwack parmesanchilliwack · Answer 2 · 2019-01-03T09:15:54+01:00

Answer:

Here, If x represents the number of months that Monisha is a member of the gym,

Also, The gym charges a joining fee of $100 and a monthly fee of $37.

Thus, The total charge for x months = $( 100 + 37 x )

But, Monisha has allocated a maximum of $285 to spend on her gym membership.

That is, [tex]100 + 37x\leq285[/tex]

⇒ [tex] 37x\leq 285-100[/tex]

⇒ [tex] 37x\leq 185[/tex]

⇒ [tex]x \leq \frac{185}{37}[/tex]

⇒ [tex]x \leq 5[/tex]

Also, the number of month can not be negative.

That is, ⇒ [tex]x \geq 0[/tex]

Thus, the required number line that shows the given situation is,

[tex]0\leq x \leq 5[/tex]