Question

Does the following equation represent growth or decay y=76(1.013)x

Answer 1

growth because you are multiplying  by a positive digit greater than one.

Answer 2

`y=76(1.013)^x`

Growth

Explanation:

We are given an equation
`y=76(1.013)^x`

We need to say about growth or decay of above equation.

It is an exponential function.

`y=ab^x`

Growth or decay depends on the value of b

If b>1 then function is growth

If 0<b<a then function is decay

Now, we compare the the function

`76(1.013)^x\rightarrow ab^x`

`b=1.013`

b>1

The value of b is greater than 1.

Hence,
`y=76(1.013)^x` is growth function.