Step-by-step explanation:
it is a bit unclear to me how the cups are stacked on each other.
are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.
then each additional cup really adds only the height of the rim to the total height of the cup tower.
so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.
32,400 = 2.4x + 13.6
let's get rid of the decimals by multiplying everything by 10.
324,000 = 24x + 136
323,864 = 24x
x = 323,864/24 = 13,494.33333...
so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).
