Question

Which explains whether or not the function represents a direct variation?

Answer 1

This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

Answer 2

Solution:

Meaning of Direct Variation:

Two quantity are said to vary directly if changes in two quantity are same i.e if one changes by p times other also changes by p times keeping the ratio same or equivalent.

Two variables x and y are said to be vary directly if it can be written as ,

 →x= k y.

So, among all the statements , Option A : Represents a function of Direct variation because it passes through the origin and has a constant rate of change of $5 per hour.→→→Can be Written as , y= 5 x if it is a linear function passing through origin. That is $\frac{y}{x} {\text{is always }=5$