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.

Question

Mathematics

Angie Landry

3 February, 03:03

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.

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Answers (1)

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Aria Potter · Answer 1

Equation relating to N is

50 + 106.3N

Step-by-step explanation:

Firstly, Equate the variables,

Total money saved by Donna is

A = 50 + 30.65N

where N is the number of weeks she has been saving

Total money saved by husband is

B = 75.65N

Total amount saved by Donna and her husband = A + B

=> 50 + 30.65N + 75.65N

=> 50 + 106.3N

From the question, total amount (in dollars) saved using both plans combined is T

therefore,

T = A + B

= 50 + 30.65N + 75.65N

= 50 + 106.3N