Question

A car travels 45 miles per hour on one gallon I gas write an algebraic expression to find the distance the car can travel using x gallons of gas

Answer 1

Answer:

$y=45x$

$y$ represent the distance traveled by the car in $x$ 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 $x$ gallons of gas.

Let $y$ represent the distance traveled by the car in $x$ gallons of gas.

We know that distance traveled by the car directly varies with the amount of gas.

So, we have$y$ ∝ $x$

Thus $y=kx$

where $k$ represents the distance traveled by car in 1 gallon of gas.

From the data given we know $k=45$

So, the expression to find the distance the car can travel using $x$ gallons of gas is written as:

$y=45x$