Question

PLEASE HELP QUICK 100 POINTS

Tom and his wife are each starting a saving plan. Tom will initially set aside $125 and then add $40.75 every week to the savings. The amount A (in dollars)
saved this way is given by the function A = 40.75N+125, where N is the number of weeks he has been saving.
His wife will not set an initial amount aside but will add $70.55 to the savings every week. The amount B (in dollars) saved using this plan is given by the
function B=70.55 N.
Let I be total amount (in dollars) saved using both plans combined. Write an equation relating I to N. Simplify your answer as much as possible.
Espa

Answer 1

`I(n)=113.5n+125`

Explanation:

Given functions:

`\begin{cases}A(n)=40.75n+125\\B(n)=70.55n \end{cases}`

If function I(n) is the total of both functions combined then:

`\begin{aligned}\implies I(n) & = A(n) + B(n)\\& = (40.75n+125)+(70.55n)\\& = 40.75n+125+70.55n\\& = 40.75n+70.55n+125\\& = 111.3n+125\end{aligned}`