Answer:
[tex]y=45x[/tex]
[tex]y[/tex] represent the distance traveled by the car in [tex]x[/tex] gallons of gas.
Step-by-step explanation:
Given:
A car travels 45 miles on one gallon of gas.
We need to calculate distance covered by the car in [tex]x[/tex] gallons of gas.
Let [tex]y[/tex] represent the distance traveled by the car in [tex]x[/tex] gallons of gas.
We know that distance traveled by the car directly varies with the amount of gas.
So, we have[tex]y[/tex] ∝ [tex]x[/tex]
Thus [tex]y=kx[/tex]
where [tex]k[/tex] represents the distance traveled by car in 1 gallon of gas.
From the data given we know [tex]k=45[/tex]
So, the expression to find the distance the car can travel using [tex]x[/tex] gallons of gas is written as:
[tex]y=45x[/tex]
