Question

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Functions Quick Check
2 of 52 of 5 Items
Question
What is the value of the function y=1/8x−13
when x=−4
?(1 point)
Responses

−12.5
negative 12.5

−16
negative 16

−15
negative 15

−13.5

Answer 1

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

1. Substitute \( x = -4 \):
\[
y = \frac{1}{8}(-4) - 13
\]

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

3. Now substitute this value back into the equation:
\[
y = -\frac{1}{2} - 13
\]

4. Convert \( -13 \) to a fraction to combine:
\[
y = -\frac{1}{2} - \frac{26}{2} = -\frac{1 + 26}{2} = -\frac{27}{2}
\]

5. Convert \( -\frac{27}{2} \) to decimal:
\[
-\frac{27}{2} = -13.5
\]

Thus, the value of the function \( y \) when \( x = -4 \) is \(-13.5\).

The correct answer is:
**−13.5**