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

1 answer

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:

\[ y \approx 0.000192 \]

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