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.

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

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.