Respuesta :

Given the equation :

[tex]y=12(1.3)^x[/tex]

(a) when x = -3 , then

[tex]\begin{gathered} y=12(1.3)^{-3\text{ }} \\ \text{ =}5.46\text{ } \end{gathered}[/tex]

(b) when x = -2, then

[tex]\begin{gathered} y=12(1.3)^{-2\text{ }} \\ \therefore\text{ y = 7.10 } \end{gathered}[/tex]

(c) when x = -1 , then

[tex]\begin{gathered} y=12(1.3)^{-1\text{ }} \\ \therefore y\text{ = 9.23 } \end{gathered}[/tex]

(d) when x = 0 ; then

[tex]\begin{gathered} y=12(1.3)^0 \\ \therefore y\text{ = 12 } \end{gathered}[/tex]

(e) when x = 1 , then

[tex]\begin{gathered} y=12(1.3)^1 \\ \therefore y\text{ =15.6 } \end{gathered}[/tex]

(f) when x = 2 ; then

[tex]\begin{gathered} y=12(1.3)^2 \\ \therefore y\text{ = 20.28 } \end{gathered}[/tex]

(g) when x = 3 ; then

[tex]\begin{gathered} y=12(1.3)^3 \\ \therefore y\text{ = 26.36 } \end{gathered}[/tex]