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:

$$\boxed{{\displaystyle -13.5}}$$