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. 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 situationyou: y=your friend: y=B. graph the system of linear equations that represents this situation

Answer 1

A. The trailhead is located at point y=0.

Then, you start at y=0 and your friend starts at y=3.

For the line equations, this values are the y-intercept because they are the values for x=0.

The slope is defined by the speed you and your friend are moving.

If you walk 5 miles per hour, the slope is 5 miles per hour.

The slope for your friend is 3 miles per hour.

Then, the line for you has a slope of 5 and a y-intercept of 0.

The line for your friend has a slope of 3 and a y-intercept of 3.

Line for you:

`y=5x`

Line for your friend:

`y=3x+3`

B. We can graph this as:

The intersection happens at (1.5, 7.5).