Question

A paper cup is 8 in. tall with 1 in. of that height being the rim. The cups nest together with the​ non-rim part ​(7 ​in.) fitting in a cup below. Write an expression for the total height of n nested cups using −7 to represent each of the unseen nested portions of the cups.

Answer 1

The expression for the total height of n nested cups is 8 - 7n.

Step-by-step explanation:

The total height of n nested cups can be expressed as:

Total height = (height of rim) + (height of non-rim part) + (height of nested portions)

Since each nested cup has a non-rim part of 7 in., we can represent the height of the nested portions as -7n. Therefore, the expression for the total height of n nested cups is:

Total height(n) = 1 + 7 + (-7)n = 8 - 7n