Question

The amount it costs (c) to fill a tank of gas is directly related to the number of gallons put in (g). Which of the following equations can be used to find the constant of variation (m)?

c/g = m

m/g = c

m/c = g

g/c=m

Answer 1

Answer: First option.

Explanation:

It is important to remember that Direct variation equations have the following form:

`y=kx`

Where "k" is the Constant of variation.

In this case, knowing that "c" represents the amount it costs to fill a tank of gas, "g" represents the number of gallons put in and "m" is the Constant of variation, we can write the following equatio:

`c=mg`

Then, in order to find the constant of variation "m"; we must solve for "m".

Dividing both sides of the equation by "g", we get the following equation:

`(c)/(g)=(mg)/(g)\\\\(c)/(g)=m`