To determine the value of [tex]\( h(45) \)[/tex] for the function [tex]\( h(z) = \frac{1}{9}(90 - z) \)[/tex], follow these steps:
1. Substitute [tex]\( z = 45 \)[/tex] into the function [tex]\( h(z) \)[/tex]:
[tex]\[
h(45) = \frac{1}{9}(90 - 45)
\][/tex]
2. Calculate the expression inside the parentheses first:
[tex]\[
90 - 45 = 45
\][/tex]
3. Now, substitute this result back into the function:
[tex]\[
h(45) = \frac{1}{9} \times 45
\][/tex]
4. Simplify the fraction:
[tex]\[
h(45) = 5
\][/tex]
Therefore, the correct value of [tex]\( h(45) \)[/tex] is [tex]\( 5 \)[/tex].
The correct answer is:
C. 5
