Question

Graph the function y = 3(5)^x. What is the y-value if x = -6? Give the answer as a non fraction

(-6, _)

Answer 1

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

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

We know that \( (5)^{-6} = \frac{1}{(5)^6} \).

Now, we can compute \( 5^6 \):

\[
5^6 = 15625
\]

So,

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

Now, substituting this back into our equation:

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

To express this as a non-fraction, we can also provide it in decimal form:

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

If you must have a non-fractional way to express it without approximation, the ordered pair can be written as:

\((-6, \frac{3}{15625})\)

For non-fraction approximation:

\((-6, 0.000192)\)

If you are looking strictly for a non-fraction format, using the decimal would be the approach. Would you like anything else?