Which explains whether or not the function represents a direct variation? this function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour. this function represents a direct variation because it has a positive, constant rate of change of $10 per hour. this function does not represent a direct variation because it does not represent the cost for 1 hour. this function does not represent a direct variation because the function rule for the cost is to add $10, not multiply by a constant.

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