Question

What is the value of the function y=1/8x−13
when x=−4
?(1 point)
Responses

−13.5
negative 13.5

−12.5
negative 12.5

−15
negative 15

−16

Answer 1

To find the value of the function \( y = \frac{1}{8}x - 13 \) when \( x = -4 \), we can substitute \(-4\) into the equation.

\[
y = \frac{1}{8}(-4) - 13
\]

Calculating \(\frac{1}{8}(-4)\):

\[
\frac{1}{8} \times -4 = -\frac{4}{8} = -\frac{1}{2}
\]

Now, substitute this back into the equation:

\[
y = -\frac{1}{2} - 13
\]

To combine these values, convert \(-13\) to a fraction:

\[
-13 = -\frac{26}{2}
\]

Now we can add:

\[
y = -\frac{1}{2} - \frac{26}{2} = -\frac{1 + 26}{2} = -\frac{27}{2}
\]

This simplifies to:

\[
y = -13.5
\]

Thus, the value of the function when \( x = -4 \) is:

\[
\boxed{-13.5}
\]