Certainly! Let's solve the problem step-by-step.
We are given the function [tex]\( h(x) = -49x - 125 \)[/tex]. To find the value of [tex]\( h(-67) \)[/tex], we substitute [tex]\( -67 \)[/tex] in place of [tex]\( x \)[/tex] in the function.
[tex]\[ h(x) = -49x - 125 \][/tex]
Substituting [tex]\( x = -67 \)[/tex]:
[tex]\[ h(-67) = -49(-67) - 125 \][/tex]
After evaluating the expression above, we find:
[tex]\[ h(-67) = 3,158 \][/tex]
Thus, the correct answer is:
[tex]\[ D. 3,158 \][/tex]