Nine bands are to perform at a weekend festival. Suppose you want to determine how many different ways there are to schedule their appearances. Would you use a combination or a permutation?

Combination

Step-by-step explanation:

We need to first define what a combination and permutation is:

Permutations are groupings in which the order of objects matters.

Combinations are groupings where content matters but order does not.

So since there are no conditions in the order of the band's appearance times, therefore a combination will be used to schedule the band's appearances. Therefore, we should use a combination.

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.