A cup is 6.4 cm tall, not including a 0.6 cm lip. Cups are stacked inside one another. You may want to draw a diagram to help you see how the height of the stack of cups increases. Select the function that represents the height of a stack of cups in terms of the number of cups in the stack.
H(c)=
the number of cups in a 18.4 cm high stack is:
H(c) = 6.4c + 0.6(c-1)
H(c) = 6.4c + 0.6c - 0.6
H(c) = 7c - 0.6
The number of cups in an 18.4 cm high stack is:
18.4 = 7c - 0.6
7c = 18.4 + 0.6
7c = 19
c ≈ 2.714
Therefore, the number of cups in an 18.4 cm high stack is approximately 2.714 cups.