Question

MAKING AN ARGUMENT You and a friend are going hiking but start at different locations. You start at the trailhead and walk 5 miles per hour. Your friend

starts 3 miles from the trailhead and walks 3 miles per hour.

your friend

a. Using y to represent the distance each person walks and x to represent the number of hours walked, write a system of linear equations that represents this

situation.

Answer 1

Answer:You

Step-by-step explanation: you are just better gangy

Answer 2

`y = 5x` -- You

`y = 3 + 3x` --- Your friend

Explanation:

Given

You:

Trailhead implies the beginning so:

`Start = 0\ mile`

`Rate = 5miles/hour`

Your Friend

`Start = 3\ mile`

`Rate = 3miles/hour`

Required

Represent as an equation

From the question, we understand that:

`y = distance`

`x = number\ of\ hours`

So, the relationship between
`distance\ and\ time\ is:`

`Distance = Start + Rate * Number\ of\ hours`

In terms
`of\ x\ and\ y`, we have:

`y = Start + Rate * x`

For you, the equation becomes:

`y = 0+ 5* x`

`y = 0+ 5x`

`y = 5x`

For your friend, the equation becomes:

`y = 3 + 3 * x`

`y = 3 + 3x`