Answer:
Their quotients are a constant
Step-by-step explanation:
Required
Quotient of two variable
Let the variables be x and y
The quotient of x and y in this case is their constant of variation.
Take for instance:
[tex](x_1,y_1) = (2,4)[/tex]
[tex](x_2,y_2) = (4,8)[/tex]
[tex](x_3,y_3) = (8,16)[/tex]
Their quotient is calculated as follows:
[tex]Quotient = \frac{y}{x}[/tex]
[tex](x_1,y_1) = (2,4)[/tex]
[tex]Quotient = \frac{4}{2} = 2[/tex]
[tex](x_2,y_2) = (4,8)[/tex]
[tex]Quotient = \frac{8}{4} = 2[/tex]
[tex](x_3,y_3) = (8,16)[/tex]
[tex]Quotient = \frac{16}{8} = 2[/tex]
Notice that the quotient has a constant value of 2.
However, the sum, difference or products will give a different set of values entirely.
Hence, option (d) is correct
