Question

Deshaun and his wife are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. His wife will not set an initial amount aside but will add $485 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=485N. 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

Answer:

The equation that relates T to N is T=750 + 620*N

Step-by-step explanation:

On the one hand, you know that what Deshaun saved is:

A = 750 + 135 * N

where N is the number of months you have been saving

On the other hand, what his wife saves is: B = 485 * N

The total amount saved using both plans combined implies the sum of what was saved by Deshaun and his wife. So:

T=A + B

Then:

T=750 + 135*N + 485*N

T=750 + 620*N

The equation that relates T to N is T=750 + 620*N

Answer 2

If A=750+135N; and B=485N, then A+B=
750+135N+485N=750+620N
T=620N+750
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