The inverse relationship between x and y is expressed as y = 6 / x. By multiplying corresponding values, k is found to be 6. Thus, the constant product confirms r = 6.
We can write the relationship between x and y as follows:
y = k / x
where k is a constant. To find the value of k, we can multiply any two corresponding values from the table. For example:
k = 1.5 * 4 = 6
Now, we can substitute this value of k into the equation above to solve for y:
y = 6 / x
Therefore, the value of r is 6.
To conclude, the value of r is 6 because y varies inversely as x. This means that the product of xy is always the same. We can solve for the value of r by multiplying any two corresponding values from the table, or by using the equation y = 6 / x.