Healthy gym charges members a fee for each visit, while fitness gym charges members a one-time yearly charge plus a fee for each visit. the equations below represent the amounts members pay at each gym, where t represents the total yearly cost and n represents the number of visits.

healthy gym: 6n = t
fitness gym: 50 + 5n = t

which statement about the total yearly cost of the memberships is true?

a. the total yearly cost is $300 at each gym for 50 visits.

b. the total yearly cost will always be higher at fitness gym than at healthy gym.

c. the total yearly cost is the same at both gyms when members make 10 visits to each one.

d. the total yearly cost at healthy gym is about $50 lower than the total yearly cost at fitness gym.

Statement A is True.

Step-by-step explanation:

Given:

t represents the total yearly cost and n representhe number of visits.

The equations represent the amounts members pay at each gym:

Healthy Gym :  60n = t

Fitness Gym : 50 + 5n = t

To find: Correct statement from given ones.

Statement 1).

n = 50

So, Amount at Healthy gym, t = 60 × 50 = $ 300

Amount at Fitness Gym , t = 50 + 5 × 50 = 50 + 250 = $ 300

Thus, This is Statement is true.

Statement 2).

This is Statement is not true because as we checked above when number of visit is 50 then annual cost of both Gym is same.

Statement 3).

n = 10

We have,

Amount at Healthy gym, t = 60 × 10 = $ 600

Amount at Fitness Gym , t = 50 + 5 × 10 = 50 + 50 = $ 100

600 ≠ 100

Thus, This is Statement is not true.

Statement 4).

Clearly from above when number of visit is 10 then, annual cost of Healthy gym is greater than Fitness Gym.

Thus, This is Statement is not true.

Therefore, Statement A is True.

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