Question

Find the equation of the exponentialfunction represented by the table below:

Answer 1

Answer::

`y=5(0.5)^x`

Step-by-step explanation:

An exponential equation is an equation of the form:

`y=ab^x`

When x=0, y=5

`\begin{gathered} y=ab^x \\ 5=ab^0 \\ a*1=5 \\ \implies a=5 \end{gathered}`

When x=1, y=2.5

`\begin{gathered} y=ab^x \\ 2.5=5* b^1 \\ b=(2.5)/(5) \\ b=0.5 \end{gathered}`

Therefore, the exponential function represented by the table is:

`y=5(0.5)^x`