Question

Abdul and his wife are each starting a saving Plan. Abdul Will initially set aside $50 and then add $50.85 every week to the savings. the amount A (in dollars) saved this way is given by the function A= 50.85n+50 where N is the number of weeks he has been saving . His wife will not set an initial amount side but will add $75.65 to the savings every week the amount B (in dollars) saved using this plan is given by the function B=75.65N. Let T be the total amount (in dollars) saved using both plants combined right in equation relating T to N. simplify your answer as much as possible.

Answer 1

Answer:$T(n)=126.5n+50$

Explanation: We are adding two linear functions: A the original function describing Abdul's deposits, and B the deposits made by his wife.

$A(n) = 50.85n+50\\B(n)=75.65n\\T(n)=A(n)+B(n) = 50.85n+50 + 75.65n= (50.85+ 75.65)n+50=126.5n+50\\T(n)=126.5n+50$

The resulting function is a larger slope due to the added deposit rate.