A cap is 6.4cm tall, not including a 0.6cm lip. Cups are stacked inside one another. select the function that represents the height of a stack of cups in terms of the number of cups in the stack

Question

The number of cups in a 18.4 cm high stack is:

3

9

15

20

Answer 1

The function that represents the height of a stack of cups in terms of the number of cups in the stack is:

Height = (6.4cm + 0.6cm) * number of cups

Plugging in the values:

Height = (7cm) * number of cups

To find the number of cups in a 18.4 cm high stack:

18.4 = 7 * number of cups

number of cups = 18.4 / 7

number of cups ≈ 2.63

Since we can't have a fraction of a cup, the closest whole number would be 3.

Therefore, the number of cups in a 18.4 cm high stack is:

3.