Question

The functions f(x) and g(x) in the table below show Jane’s and Mariah's savings respectively, in dollars, after x days. Some values are missing in the table.

Answer 1

You need to just put in the last values?

Answer 2

Hold up let me finish ...

Answer 3

Which statement best describes Jane's and Mariah's savings in the long run?

(A) Jane will save more than Mariah.
(B) Mariah will save more than Jane.
(C) The savings will increase by the same factor for both.
(D) The savings will increase by the same percentage for both.

Answer 4

I think this one is A because in Jane's third year she will save $27 and in Mariah's third year she will save $12

Answer 5

right,
Jane's account is represented by an exponential function g(x) = 3^x
wheras
Mariah's account is represented by a linear function f(x) = 3x+3

Answer 6

you are right, it is already apparent by just the third year,
If you were to graph these two functions, you would see that the exponential increases at a much faster rate than the linear one. Even more so as you go longer into the future

Answer 7

So i was correct. Yes! thanks again ;)

Answer 8

here

Answer 9

the exponential wil very quickly grow huge

Answer 10

yes it will faster than the linear one

Answer 11

every time you increase x by 1, you are multiplying the total by 3

Answer 12

the linear will just be multiplied by 3 one time, and add 3,

Answer 13

ok

Answer 14

In general:
For the exponential, the rate of increase per unit of x, is increasing all the time
For the linear, the rate of increase is always the same

Answer 15

thank you and correct answer is A