Exponential function in the form y=ab^xy=ab x
that goes through points (0, 13)(0,13) and (5, 416)(5,416).

Hello!

y = abˣ

We know that at x = 0, b = 1 because any number to the power of 0 = 1.

Therefore:

13 = a(1)

13 = a

Now, plug in this value to solve for b:

y = 13bˣ

Substitute in the next point:

416 = 13(b)⁵

Divide both sides by 13:

32 = b⁵

Take the 5th root of both sides:

2 = b

Rewrite:

y = 13(2)ˣ

sup

step-by-step explanation:

5x+10 is the correct one

hope this