Hans and his wife are each starting a saving plan. Hans will initially set aside $50 and then add $30.65 every week to the savings.

Question

The amount A

 (in dollars) saved this way is given by the function =A+30.65N50 , where N is the number of weeks he has been saving.

His wife will not set an initial amount aside but will add 

$55.85

 to the savings every week. The amount B

 (in dollars) saved using this plan is given by the function =B55.85N

.Let T

 be total amount (in dollars) saved using both plans combined. Write an equation relating T

 to N

. Simplify your answer as much as possible. 

Answer 1

More algebra, yay! :-)

A_H = 50 + 30.65N

A_{H =} Amount for Hans and N = number of weeks

A_W = 55.85N

A_{W =} Amount for WIfe and N = weeks

Total, T = A_{H +} A_{W =} (50 + 30.65N) + 55.85N

Hence T = 50 + 86.50N