Tara owes $14,375 in credit card debt. the interest accrues at a rate of 5.3%. she is also borrowing $570 each month for rent from her parents. she does not pay interest on the money she borrows from her parents.
a.
let f(t) represent the amount of money tara owes in credit card debt, where t is the number of years after interest begins to accrue. let g(t) represent the amount of money tara owes to her parents, where t represents the number of years passed. write a function (f + g)(t) to represent the total money that tara owes.
b. how much will tara have to repay if she continues this way without any repayment for 2 years?
(show work)

a. (14,375+570)(5.3) b. 158,417$

step-by-step explanation:

a. you are basically just setting up the equation. f= amount of debt hence 14,375. g= how much she is borrowing from her parents weekly hence 570 and t= the interest on her debt. creating the equation.

b.   14,375+570= 14,945

      14,945 x 5.3 = 79,208.5

      79,208.5 x 2(years) = 158,417(answer)

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

i would say b) is your answer

sorry if im wrong

step-by-step explanation: