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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.

Sagot :

MrRoyal

Answer:

[tex]y = 5x[/tex] -- You

[tex]y = 3 + 3x[/tex] --- Your friend

Step-by-step explanation:

Given

You:

Trailhead implies the beginning so:

[tex]Start = 0\ mile[/tex]

[tex]Rate = 5miles/hour[/tex]

Your Friend

[tex]Start = 3\ mile[/tex]

[tex]Rate = 3miles/hour[/tex]

Required

Represent as an equation

From the question, we understand that:

[tex]y = distance[/tex]

[tex]x = number\ of\ hours[/tex]

So, the relationship between [tex]distance\ and\ time\ is:[/tex]

[tex]Distance = Start + Rate * Number\ of\ hours[/tex]

In terms [tex]of\ x\ and\ y[/tex], we have:

[tex]y = Start + Rate * x[/tex]

For you, the equation becomes:

[tex]y = 0+ 5* x[/tex]

[tex]y = 0+ 5x[/tex]

[tex]y = 5x[/tex]

For your friend, the equation becomes:

[tex]y = 3 + 3 * x[/tex]

[tex]y = 3 + 3x[/tex]

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