Question

suppose you want to determine how many miles you can drive in your car. your car gets 28 miles per gallon. The number traveled varies directly with the number of gallons that the tank holds. write the direct variation that represents the equation

Answer 1

The answer is: If x is the number of gallons that the tank holds, do you agree that 28 * x is the number of miles the car could travel on a full tank of gas?

Answer 2

`y=28x`

Explanation:

Your car gets 28 miles per gallon. The number traveled varies directly with the number of gallons that the tank holds.

Let y be the dependent variable and let x be the independent variable.

Direct variation is of the form y=kx, where k is the constant of variation.

Direct variation means x and y changes when anyone changes.

Here, the dependent variable y, is miles and the independent variable x, is gallons.

So, we can represent this as :

`y=28x`