Question

Graph the function y = 3(5)^x. If the X value is -6, what is the Y value?

Answer 1

To find the Y value when \( x = -6 \) for the function \( y = 3(5)^x \), we can substitute \(-6\) for \(x\) in the function:

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

Next, we can calculate \( (5)^{-6} \):

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

Now, we can multiply this by 3:

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

So the Y value when \( x = -6 \) is:

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

If you would like a decimal approximation:

\[
\frac{3}{15625} \approx 0.000192
\]

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

\[
y \approx 0.000192
\]