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:

$y = 5x$ -- You

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

Step-by-step 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:

$y = 3 + 3 * x$

$y = 3 + 3x$