Question

What is the value of the function y=1/8x-13 when x=4?
1. -15
2. -16
3. -12.5
4 -13.5

Answer 1

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

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

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

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

Now substitute that back into the equation:

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

Convert \( -13 \) to a fraction for easier calculation:

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

Now we can add the fractions:

\[
y = \frac{1}{2} - \frac{26}{2} = \frac{1 - 26}{2} = \frac{-25}{2}
\]

Now, we can convert \( \frac{-25}{2} \) to a decimal:

\[
\frac{-25}{2} = -12.5
\]

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

\[
y = -12.5
\]

The correct answer is:

3. -12.5