To find the value of [tex]\( f(-142) \)[/tex] for the function [tex]\( f(x) = -0.2(x + 223) \)[/tex], follow these steps:
1. Substitute [tex]\( x = -142 \)[/tex] into the function.
[tex]\[
f(-142) = -0.2(-142 + 223)
\][/tex]
2. Simplify the expression inside the parentheses.
[tex]\[
-142 + 223 = 81
\][/tex]
3. Now, substitute 81 back into the function.
[tex]\[
f(-142) = -0.2 \times 81
\][/tex]
4. Multiply [tex]\(-0.2\)[/tex] by [tex]\(81\)[/tex].
[tex]\[
-0.2 \times 81 = -16.2
\][/tex]
Thus, the value of [tex]\( f(-142) \)[/tex] is [tex]\(-16.2\)[/tex].
The correct answer is:
A. -16.2
