To determine the number of climbers in the group given the total number of hooks counted, we need to use the relationship between the total hooks and the number of climbers.
Every climber has 8 hooks. Therefore, if a climber counts [tex]\(h\)[/tex] hooks in total, the number of climbers, [tex]\(c(h)\)[/tex], can be calculated by dividing the total number of hooks by the number of hooks each climber has.
Given:
- Each climber has 8 hooks.
- The total number of hooks is [tex]\(h\)[/tex].
The function to find the number of climbers can be derived as follows:
[tex]\[ c(h) = \frac{h}{8} \][/tex]
This means that the number of climbers is equal to the total number of hooks divided by 8.
To verify, if [tex]\(h = 1\)[/tex], plugging into the function:
[tex]\[ c(1) = \frac{1}{8} = 0.125 \][/tex]
Here, [tex]\(c(h) = 0.125\)[/tex] confirms that for 1 hook, there is [tex]\(\frac{1}{8}\)[/tex] of a climber, which makes sense as we're dealing with hypothetical fractions of a climber in this context.
Hence, the correct function to find the number of climbers in the group is:
(B) [tex]\(c(h) = \frac{h}{8}\)[/tex]
