exponential and linear function pairs

[thin shore]

I don’t understand how to solve this problem

[real folio]

Linear function usually means something with the property that
f(ax+by) = af(x) + bf(y), but in this context, we will assume it is a function in the form f(x) = mx + a instead.

And an exponential function is of the form g(x) = c*b^x.

So you need to figure out what m, a, b, and c are so that you can figure out what the functions are.

Because of the given pairs, f(2) = 4, f(4) = 4/25, g(2) = 4, g(4) = 4/25

Do you think you can do the rest from there?

[thin shore]

OHHH wait I understand now

The exponential would be f(x) = 100(1/5)^x

Okok tyyy!

[real folio]

I think that’s right.

What about the linear function?

[thin shore]

So I did it in point slope formula instead cause my teacher said we had to do it that way

y - 4 = -48/25(x - 2)