Question

Debra and her husband are each starting a saving plan. Debra will initially set aside $125 and then add $30.65 every week to the savings. The amount (in dollars) saved this way is given by the function A=125 + 30.65N, where N is the number of weeks she has been saving. Her husband will not set an initial amount aside but will add $55.85 to the savings every week. The amount (in dollars) saved using this plan is given function B=55.85N. Let T be the total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.

a) T = 125N + 30.65N + 55.85N
b) T = 125 + 30.65 + 55.85
c) T = 125 + 30.65N + 55.85N
d) T = 125N + 55.85N

Answer 1

The equation relating the total amount saved, T, to N, the number of weeks savings, when using both plans combined is T = 125 + 30.65N + 55.85N.

Step-by-step explanation:

The equation relating the total amount saved, T, to N, the number of weeks savings, when using both plans combined can be written as:

T = (125 + 30.65N) + (55.85N)

This equation combines the amounts saved by Debra and her husband, with Debra saving $125 initially and adding $30.65 every week, and her husband adding $55.85 every week. By simplifying the equation, we get:

T = 125 + 30.65N + 55.85N

Therefore, the correct equation relating T to N is T = 125 + 30.65N + 55.85N, which is option c.