Question

Suppose you want to determine the number of miles you can drive in your car. Your car gets 20 miles per gallon. The number of miles traveled varies directly with the number of gallons of gas the tank holds. Write a direct variation equation that represents the situation. Let y be the dependent variable and let x be the independent variable

Answer 1

Answer:
`y=20x`

Explanation:

By definition, a direct variation equation has the form shown below:

`y=kx`

Where k is a constant, y is the dependent variable and x is the independent variable.

According to the problem, you know that your car gets 20 miles per gallon. The number of miles traveled varies directly with the number of gallons of gas the tank holds.

Then, you can write the following direct variation equation that represents the situation:

y: The number of miles traveled

x: the number of gallons of gas the tank holds.

k: 20 (Because your car gets 20 miles/gallon)

Then:

`y=20x`

Answer 2

y = 20x

Explanation:

We know that the car gets 20 miles per gallon and the number of miles traveled varies directly with the number of gallons of gas the tank holds.

We are to write a direct variation equation which represents this situation.

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

So for this situation, the direct variation equation will be:

`y=20x`