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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.
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taurusqueen824

Answer:

The equation to represent the situation is [tex]10 = \frac{k}{4}[/tex]

Step-by-step 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

[tex]g = \frac{k}{t}[/tex]

Here, k represents the constant of proportionality.

Putting g = 10 and t = 4 in the equation

[tex]10 = \frac{k}{4}[/tex]

Therefore,

The equation to represent the situation is [tex]10 = \frac{k}{4}[/tex]

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