Question

56 if $h(x) = 9 - 2.5x$, then for which value of $x$ does $h(x) = -1$?
a. -13.5
b. -4
c. 4
d. 13.5

Explanation:

Step1: Set up the equation

We know that \( h(x)=9 - 2.5x \) and \( h(x)=- 1 \), so we set up the equation \( 9-2.5x=-1 \).

Step2: Solve for x

First, subtract 9 from both sides of the equation:
\( 9 - 2.5x-9=-1 - 9 \)
Simplifying both sides, we get \( - 2.5x=-10 \).
Then, divide both sides by - 2.5:
\( x=\frac{-10}{-2.5} \)
Calculating the right - hand side, \( \frac{-10}{-2.5} = 4 \).

Answer:

C. 4