Question

Write an equation modeling the data in exponential form (y = ab^x)

Answer 1

Given data:

The given table is shown.

The given expression is,

`y=a(b)^x`

Substitute 0 for x and 20080 for y in the above expression.

`\begin{gathered} 20080=a(b)^0 \\ 20080=a \end{gathered}`

Substitute 20080 for a in the given expression.

`y=20080(b)^x`

Substitute 1 for x and 20582 for y in the above expression.

`\begin{gathered} 20582=20080(b)^1 \\ b=1.025 \end{gathered}`

Substitute 1.025 for b in the given standard expression.

`y=20080(1.025)^x`

Thus, the exponential expression is y=20080(1.025)^x.