Question

Given the equation y=12(1.3)x, find each of the following.Round answers to the nearest hundredth as needed.

Answer 1

Given the equation :

`y=12(1.3)^x`

(a) when x = -3 , then

`\begin{gathered} y=12(1.3)^{-3\text{ }} \\ \text{ =}5.46\text{ } \end{gathered}`

(b) when x = -2, then

`\begin{gathered} y=12(1.3)^{-2\text{ }} \\ \therefore\text{ y = 7.10 } \end{gathered}`

(c) when x = -1 , then

`\begin{gathered} y=12(1.3)^{-1\text{ }} \\ \therefore y\text{ = 9.23 } \end{gathered}`

(d) when x = 0 ; then

`\begin{gathered} y=12(1.3)^0 \\ \therefore y\text{ = 12 } \end{gathered}`

(e) when x = 1 , then

`\begin{gathered} y=12(1.3)^1 \\ \therefore y\text{ =15.6 } \end{gathered}`

(f) when x = 2 ; then

`\begin{gathered} y=12(1.3)^2 \\ \therefore y\text{ = 20.28 } \end{gathered}`

(g) when x = 3 ; then

`\begin{gathered} y=12(1.3)^3 \\ \therefore y\text{ = 26.36 } \end{gathered}`