function that represents the height of a stack of cups in terms of the number of cups in the stack.

Question

H(c) =
Select a Value
Select a Value
5.8c
7c
6.4c + 0.6
6.4 +0.6c
The number of cups in 18.4 cm high stack is
Select a Value
3
9
15
20
Show your work

Answer 1

The correct function that represents the height of a stack of cups in terms of the number of cups in the stack is H(c) = 6.4c + 0.6.

To find the number of cups in an 18.4 cm high stack, we need to solve the equation 18.4 = 6.4c + 0.6 for c.

First, we subtract 0.6 from both sides of the equation:
18.4 - 0.6 = 6.4c
17.8 = 6.4c

Then, we divide both sides of the equation by 6.4:
17.8 / 6.4 = c
2.78125 = c

Therefore, the number of cups in an 18.4 cm high stack is approximately 2.78125. However, since we cannot have a fraction of a cup, the closest whole number would be 3. Thus, the answer is 3.