Question

Graph the function y=3(5)^x
. What is the y-value if x=−6
?(1 point)

Answer 1

To find the y-value of the function \( y = 3(5)^x \) when \( x = -6 \), we can substitute \(-6\) into the equation.

\[
y = 3(5)^{-6}
\]

Calculating \( (5)^{-6} \):

\[
(5)^{-6} = \frac{1}{(5)^6}
\]

Now, calculating \( (5)^6 \):

\[
(5)^6 = 15625
\]

So,

\[
(5)^{-6} = \frac{1}{15625}
\]

Now substituting this back into the equation for \( y \):

\[
y = 3 \cdot \frac{1}{15625} = \frac{3}{15625}
\]

Thus, the y-value when \( x = -6 \) is:

\[
y = \frac{3}{15625}
\]

This is the exact value, but if you would like a decimal approximation:

\[
y \approx 0.000192
\]

So, the y-value when \( x = -6 \) is \( \frac{3}{15625} \) or approximately \( 0.000192 \).