Question

Ravi and his wife are each starting a saving plan. Ravi will initially set aside $125 and then add $40.75 every week to the savings. The amount A (in dollars) saved this way is given by the function A= 125 + 40.75N, where N is the number of weeks he has been saving.

His wife 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 T to N. Simplify your answer as much as possible.

Answer 1

T = 125 +116.40N

Explanation:

The total savings is the sum of the two plan values:

T = A + B

T = (125 +40.75N) +(75.65N) . . . . substitute the given formulas

T = 125 + (40.75+75.65)N . . . . . . .combine like terms

T = 125 +116.40N

Answer 2

Explanation:

Ravi will initially set aside $125 and then add $40.75 every week to the savings. The function representing the amount, A (in dollars) saved by Ravi is expressed as

A = 125 + 40.75N

His wife will not set an initial amount aside but will add $75.65 to the savings every week. The function representing the amount, B (in dollars) saved by his wife is expressed as

B= 75.65N

If T represent the total amount (in dollars) saved using both plans combined, an equation relating T to N would be

T = 125 + 40.75N + 75.65N

T = 125 + 116.4N