The distance traveled by a certain vehicle varies directly to the amount of fuel the vehicle consumes. the vehicle traveled 90 mile on 5 gallons of fuel. at the same rate, how far would the vehicle travel on 7 gallons of fuel

The vehicle covers 126 miles on 7 gallons of fuel.

Step-by-step explanation:

Given:

The distance traveled is directly proportional to the amount of fuel.

For gallons of fuel distance traveled miles can be given as:

∝

where is constant of proportionality.

The vehicle covers miles on gallons.

So

Dividing both sides by 5.

∴

When gallons

miles

∴ The vehicle covers 126 miles on 7 gallons of fuel.

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