The variable Z is directly proportional to X. When X is 6, Z has the value 72.
What is the value of Z when X = 13
72/6 = 12
Therefore, when X is 13, one must multiply X by 12.
13 * 12 = 156
Z = 156
To find the value of Z when X = 13, we need to use the information given that Z is directly proportional to X.
When two variables are directly proportional, it means that they increase or decrease in the same ratio. In this case, Z and X are directly proportional, which means that if X doubles, Z will also double. If X triples, Z will triple, and so on.
We are also given a specific value for Z when X is 6. We know that when X = 6, Z has the value 72. This can be used as a reference point to find the constant of proportionality.
To find the constant of proportionality, we can set up a proportion using the two known values: X = 6 and Z = 72.
X / Z = 6 / 72
To find the value of Z when X = 13, we can use the proportion we set up:
X / Z = 6 / 72
13 / Z = 6 / 72
Now we can cross-multiply to solve for Z:
13 * 72 = 6 * Z
936 = 6Z
To solve for Z, divide both sides of the equation by 6:
936 / 6 = Z
156 = Z
Therefore, when X = 13, Z will have the value of 156.