Question

Olivia drives 90 miles in 2 hours. She drives 225 miles in 5 hours. She writes an equation in the form y=mx to represent the number of miles y and the number of hours x. If the graph of this line passes through the point (6,y), what is the value of y?​

Answer 1

Answer:

$y=270\textrm{ miles}$

Step-by-step explanation:

Given:

Number of miles is represented by $y$ and number of hours is represented by $x$.

The equation to show the relationship between $x$ and $y$ is $y=mx$

Now, for $x=2,y=90$

Plug in the above equation and solve for $m$. This gives,

$90=m(2)\\m=\frac{90}{2}=45\textrm{ mi/h}$

Hence, the equation is $y=45x$.

Now, if the line passes through $(6,y)$, then $x = 6$.

So, $y=45(6)=270\textrm{ miles}$

Therefore, the value of $y$ is 270 miles.