option A y=9/x Step by step procedure: Two variables x and y are said to vary inversely if an increase in one of the variables leads to a decrease in the other.
The question is too small, can you enlarge it? Step by step explanation:
a) y = 15 x is an example of direct variation, with proportionality constant = 15 b) is an example of linear variation (it is the equation of a straight line that does not pass through the origin) c) y = 15/x => y *x = 15 = constant which is characteristic of an inverse relation d) y = x/15 is an example of an inverse relation, with a constant proportion = 1/15
When the representation of the variables in an equation is similar and has the same constants, it is called an inverse equation. An example of an inverse equation is y = k/x. This can also be represented by x = k/y.
So among the options C is the right option. y = 15/x which is also x = 15/y
D. Step-by-step explanation: Let y vary inversely to x. Then we can write the variation equation: We introduce the proportionality constant, k and we get the inverse variation equation: Of the given options, the only equation in this form is In this case, k=7 is the constant of proportionality or constant of variation.