Question

A health club charges a one-time initiation fee and
a monthly fee. John paid 100 dollars for 2 months of
membership. However, Peter paid 200 for 6 months of
membership. How much will Sylvia pay for 1 year of
membership?

Answer 1

@dude- This is a trick question e.e

Answer 2

@563blackghost @Shadow @dude

Answer 3

A method:

\(i = \text{ one-time initiation fee}\)

\(m = \text{ monthly fee}\)


\(J = 100 = i + 2m\)

\(P = 200 = i + 6m\)

\(P - J = 100 = 4m \implies m = \dots\)

\(J = 100 \implies 100 = i + 2(\dots) \implies i = \dots\)

Then for yer answer: \(S = i + 12 m = 50 + 12(\dots) = \dots\)

And maybe do a result check:

\(S - P = 6m = \dots \)

[350]

Answer 4

make sense?

Answer 5

yes

Answer 6

perfect :)