Question

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

Answer 1

Answer:

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 $F$ gallons of fuel distance traveled $D$ miles can be given as:

$D$ ∝ $F$

$D=kF$

where $k$ is constant of proportionality.

The vehicle covers $D=90$ miles on $F=5$ gallons.

So

$90=k(5)$

Dividing both sides by 5.

$\frac{90}{5}=\frac{k(5)}{5}$

$18=k$

∴ $k=18$

When $F=7$ gallons

$D=(18)(7)$

$D=126$ miles

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