Answer:
Given
Number of stacks = 2
Stack 1 = 6 cups; h1 = 15cm
Stack 2 = 12 cups; h2 = 23cm
Let's first find the average:
[tex] \frac{H_1 - H_2}{ n_1 - n_2}[/tex]
[tex]= \frac{15-23}{6-12} [/tex]
[tex] = \frac{-8}{-6} = \frac{4}{3} [/tex]
With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:
50 / (4/3)
= 50 * 3/4
= 150/4
= 37.5
From the answer, we can see that the number of cups is not really proportional to the height of the stack, because the average of stack one and stack 2 are different.
