Question

Donna and her husband are each starting a saving plan. Donna will initially set aside $50 and then add $30.65 every week to the savings. The amount A (in dollars) saved this way is given by the function A=50+30.65N. where is the number of weeks she has been saving. Her husband will not set an initial amount aside 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 total amount (in dollars) saved using both plans combined. Write an equation relating to N. Simplify your answer as much as possible.

Answer 1

The simplified expression for combined amount saved by Donna and her husband is 106.30N+50

Explanation:

Given,

Function for amount saved by Donna;

A = 50+30.65N

Where N is the number of weeks.

Function for amount saved by Donna's husband

B = 75.65N

Let ,

The combined total amount saved be T.

T = A+B

`T=(50+30.65N)+(75.65N)\\T=50+30.65N+75.65N\\T=50+106.30N\\T=106.30N+50`

The simplified expression for combined amount saved by Donna and her husband is 106.30N+50