Question

function that represents the height of a stack of cups in terms of the number of cups in the stack.
H(c) =
5.8c
7c
6.4c + 0.6
6.4 +0.6c
The number of cups in 18.4 cm high stack is
3
9
15
20
Show your work

Answer 1

To find the number of cups in an 18.4 cm high stack, we can use the equation that represents the height of the stack in terms of the number of cups.

Let's use each of the given functions to see which one gives us the height of 18.4 cm:

1) H(c) = 5.8c
18.4 = 5.8c
Dividing both sides by 5.8:
c = 3.1724137931034484

2) H(c) = 7c
18.4 = 7c
Dividing both sides by 7:
c = 2.628571428571428

3) H(c) = 6.4c + 0.6
18.4 = 6.4c + 0.6
Subtracting 0.6 from both sides:
17.8 = 6.4c
Dividing both sides by 6.4:
c = 2.78125

4) H(c) = 6.4 + 0.6c
18.4 = 6.4 + 0.6c
Subtracting 6.4 from both sides:
11.2 = 0.6c
Dividing both sides by 0.6:
c = 18.666666666666668

Based on these calculations, we see that for an 18.4 cm high stack, none of the given functions are a correct representation. It is possible that the correct equation is not among the given options.