Question

Michael and his wife are each starting a saving plan. Michael will initially set aside $75 and then add $50.85 every week to the savings. The amount A (in dollars) saved this way is given by the function =A+7550.85N, where N is the number of weeks he has been saving.

His wife will not set an initial amount aside but will add $65.95 to the savings every week. The amount B (in dollars) saved using this plan is given by the function =B65.95N.


Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.

Answer 1

Explanation:

Total savings = savings of Michael + savings of his wife = f (N) + f (N)

$ 75 + 50.85N + 65.95N. = $ 75 + N ( 50.85 + 65.95 ) = $ 75 + 116.8 N

Answer 2

T = 75 + 116.9*N

Explanation:

We have that the equation for Michael's savings is:

A = 75 + 50.85*N, where N is the number of weeks

And we have that the equation for his wife's savings is:

B = 65.95*N.

So, to find the total amount saved using both plans combined (T), we have to sum A and B:

T = A + B = 75 + 50.85*N + 65.95*N = 75 + 116.9*N

So the equation that relates T to N is:

T = 75 + 116.9*N