Question

Billy is going on a road trip. The amount of gas g (in gallons) left in his tank varies inversely with the amount

of time he has been driving t in hours. He has 10 gallons left after 4 hours. Write the equation for this
situation.
40

Answer 1

The equation to represent the situation is
`10 = (k)/(4)`

Explanation:

It is given that:

Amount of gas left in tank varies inversely with the amount of the time.

Let,

g represents the gas

t represents the time

g ∝ 1/t

`g = (k)/(t)`

Here, k represents the constant of proportionality.

Putting g = 10 and t = 4 in the equation

`10 = (k)/(4)`

Therefore,

The equation to represent the situation is
`10 = (k)/(4)`