Question

write and graph an equation to represent the situation. you put 14 gallons of gasoline (x) in your car. you know that this amount of gasoline will allow you to drive 406 miles (y). y =

Explanation:

Step1: Find the rate of miles per gallon

We know that when $x = 14$ gallons, $y=406$ miles. The rate $r$ (miles per gallon) is found by $r=\frac{y}{x}$. So $r=\frac{406}{14}=29$ miles per gallon.

Step2: Write the equation

The relationship between the number of miles $y$ and the number of gallons $x$ is a linear - relationship of the form $y = rx$, where $r$ is the rate. Since $r = 29$, the equation is $y = 29x$.

Answer:

$y = 29x$