Question

The height of a stack of dvd cases is in a proportional relationship to the number of cases in the stack. a stack of 4 cases and its height are shown. find the constant of proportionality. then use the constant of proportionality to find the height of a stack of 14 cases.

Answer 1

The height of a stack of DVD cases is proportional to the number of cases. We calculate the constant of proportionality with the height of a 4-case stack and then use it to find the height of a 14-case stack.

Step-by-step explanation:

The question is asking for the constant of proportionality when given the height of a stack of DVD cases corresponding to a certain number of cases. To find the constant of proportionality, we would typically divide the height of the stack by the number of DVD cases. However, the height of the 4-case stack has not been provided. Assuming this information was given, (let's say 'h' for the height for the sake of this example), the constant of proportionality (k) would be calculated as:

k = h / 4.

Then, to find the height of a stack of 14 DVD cases, we multiply the constant of proportionality by 14:

height of 14 cases = k * 14.

This gives us the proportional height of the 14 case stack.