Question
What is the value of the function y=18x−13
𝑦
=
1
8
𝑥
−
13
when x=−4
𝑥
=
−
4
?(1 point)
Responses
−15
−
15
negative 15
−13.5
−
13.5
negative 13.5
−16
−
16
negative 16
−12.5
−
12.5
negative 12.5
𝑦
=
1
8
𝑥
−
13
when x=−4
𝑥
=
−
4
?(1 point)
Responses
−15
−
15
negative 15
−13.5
−
13.5
negative 13.5
−16
−
16
negative 16
−12.5
−
12.5
negative 12.5
Answers
GPT-4o mini
To find the value of the function \( y = 18x - 13 \) when \( x = -4 \), we can substitute \( -4 \) for \( x \):
\[
y = 18(-4) - 13
\]
\[
y = -72 - 13
\]
\[
y = -85
\]
Since -85 is not in the answer options provided, let's double-check by recalculating the expression with the assumption of a typo in the function provided.
If the given function was actually meant to be \( y = \frac{1}{8}x - 13 \), then:
\[
y = \frac{1}{8}(-4) - 13
\]
\[
y = -\frac{4}{8} - 13
\]
\[
y = -0.5 - 13
\]
\[
y = -13.5
\]
That calculation yields a result of \( -13.5 \), which is indeed one of the options provided.
Therefore, the correct value is:
\[ -13.5 \] (negative 13.5)
\[
y = 18(-4) - 13
\]
\[
y = -72 - 13
\]
\[
y = -85
\]
Since -85 is not in the answer options provided, let's double-check by recalculating the expression with the assumption of a typo in the function provided.
If the given function was actually meant to be \( y = \frac{1}{8}x - 13 \), then:
\[
y = \frac{1}{8}(-4) - 13
\]
\[
y = -\frac{4}{8} - 13
\]
\[
y = -0.5 - 13
\]
\[
y = -13.5
\]
That calculation yields a result of \( -13.5 \), which is indeed one of the options provided.
Therefore, the correct value is:
\[ -13.5 \] (negative 13.5)