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

To find the total amount T saved using both plans combined, we can add the amounts saved by Deshaun and his wife. The equation relating T to N is T = 750 + 620N.

Step-by-step explanation:

To find the total amount T saved using both plans combined, we can add the amounts saved by Deshaun and his wife. Deshaun saves $750 initially and then adds $135 every month, so the amount he saves after N months is given by the function A = 750 + 135N. His wife saves $485 every month, so the amount she saves after N months is given by the function B = 485N. To find the total amount T, we can add A and B:

T = A + B = (750 + 135N) + (485N) = 750 + 135N + 485N = 750 + 620N

Therefore, the equation relating T to N is T = 750 + 620N.

Answer 2

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