Question

Find the equation of the exponential function represented by the table below:

Answer 1

`y=0.1(4)^x`

Explanation:

Exponential functions are represented by the formula
`y=a(b)^x`, where a is the initial value, and b is the multiplier.

Here, we can see that when x = 0, or our initial value, y = 0.1.

Thus, a = 0.1.

Since b is the multiplier, or like the slope, we can do 0.4/0.1 and get 4 for our multiplier.

Now plug everything into the formula
`y=a(b)^x\\y=0.1(4)^x`