What is the value of the function y=1/8x−13

Question

when x=−4
?(1 point)
Responses

−12.5
negative 12.5

−13.5
negative 13.5

−16
negative 16

−15

Answer 1

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

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

Now, calculate \(\frac{1}{8}(-4)\):

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

Next, substitute this result back into the equation:

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

Convert \(-13\) into a fraction:

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

Now combine the two fractions:

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

This can be converted to decimal form:

\[ -\frac{27}{2} = -13.5 \]

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

\[ \boxed{-13.5} \]