Answer:
[tex]y=270\textrm{ miles}[/tex]
Step-by-step explanation:
Given:
Number of miles is represented by [tex]y[/tex] and number of hours is represented by [tex]x[/tex].
The equation to show the relationship between [tex]x[/tex] and [tex]y[/tex] is [tex]y=mx[/tex]
Now, for [tex]x=2,y=90[/tex]
Plug in the above equation and solve for [tex]m[/tex]. This gives,
[tex]90=m(2)\\m=\frac{90}{2}=45\textrm{ mi/h}[/tex]
Hence, the equation is [tex]y=45x[/tex].
Now, if the line passes through [tex](6,y)[/tex], then [tex]x = 6[/tex].
So, [tex]y=45(6)=270\textrm{ miles}[/tex]
Therefore, the value of [tex]y[/tex] is 270 miles.
