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

`y=270\textrm{ miles}`

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=(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.