To solve this problem, let's follow a step-by-step approach to determine how to find the number of climbers, [tex]\( c \)[/tex], in the group given that the climbers have [tex]\( h \)[/tex] hooks in total.
1. Identify the information given:
- Each climber has 8 hooks.
- The total number of hooks counted is [tex]\( h \)[/tex].
2. Understand the relationship between the hooks and the climbers:
- If one climber has 8 hooks, then the number of climbers would be the total number of hooks divided by the number of hooks per climber.
3. Formulate the equation:
- Since each climber has 8 hooks, if there are [tex]\( c \)[/tex] climbers, the total number of hooks is [tex]\( 8c \)[/tex].
- We can set up the equation as:
[tex]\[
8c = h
\][/tex]
4. Solve for the number of climbers, [tex]\( c \)[/tex]:
- To find the number of climbers, [tex]\( c \)[/tex], we need to isolate [tex]\( c \)[/tex] in the equation:
[tex]\[
c = \frac{h}{8}
\][/tex]
5. Match this with the given options:
- The function that can be used to find the number of climbers, [tex]\( c(h) \)[/tex], given [tex]\( h \)[/tex] hooks is:
[tex]\[
c(h) = \frac{h}{8}
\][/tex]
Therefore, the correct answer is:
(B) [tex]\( c(h) = \frac{h}{8} \)[/tex].
