Question

Jenny and her husband are each starting a savings plan. Jenny will initially set aside $650 and then add $145 every month to the savings. The amount A(in dollars) saved this way is given by the function A=145N+650, where N is the number of months she have been saving.Her husband will not set an initial amount aside but will add $385 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=385N.Let T be total amount (in dollars) saved using both plans combined. Write and equation relating T to N. simplify your answer as much as possible.

Answer 1

`T=530N+650`

Explanation:

We have the following functions given by the statement:

`\begin{gathered} A=145N+650 \\ \\ B=385N \end{gathered}`

The functions A and B are a function of N, the function T which is the total, which is the sum of the functions A and B, therefore, it would look like this:

`\begin{gathered} T=A+B \\ \\ T=145N+650+385N \\ \\ T=530N+650 \end{gathered}`