Question

I need help with my homewrok PLEASE CHECK WORK number 6

Answer 1

Given: The graph of an exponential function as shown in the image

To Determine: The equation of the given graph

Solution

The general equation of an exponential equation is

`\begin{gathered} y=ab^x \\ a=vertical\text{ stretch} \\ b=common-ratio \end{gathered}`

Let us pick a point from the graph and the value of common ratio to solve for a

Please note that the common ratio is 2 because the processing power doubles every year

So

`\begin{gathered} Point:(0,60),b=2 \\ y=ab^x \\ 60=a(2)^0 \\ 60=a(1) \\ 60=a \\ a=60 \end{gathered}`

Let us substitute a and b into the general equation would given us

`y=60(2)^x`

Hence, the equation is

y = 60 (2)ˣ