Question

He park trail is 10x^2+4x+2 miles long. The hiker has traveled 5x-1 miles. How much farther does the hiker need to travel to get to the end of the trail

Answer 1

`10x^2-x+3` miles.

Explanation:

It is given that,

Total length of park trail =
`10x^2+4x+2` miles

Total length traveled by hiker =
`5x-1` miles

We need to find the length of trail hiker need to travel to get to the end of the trail.

Required length
`=10x^2+4x+2-(5x-1)`

`=10x^2+4x+2-5x+1`

`=10x^2+(4x-5x)+(2+1)`

`=10x^2-x+3`

Therefore, hiker need to travel
`10x^2-x+3` miles to get to the end of the trail.