Question

Jacqueline hikes away from the trallhead, and Shayne hlkes toward the tralhead, Shane starts hiking 10 miles away from the trallhead at the same time Jacquellne starts hiking. The graph shows the distance from the trailhead, In miles, as a function of time, In hours.

Answer 1

Jacqueline hikes away from the trallhead,

So, the red line is the graph of Jacqueline

Shayne hlkes toward the tralhead,

So, the blue line is the graph of Shayne

At time t = 0 seconds Shayne is at 10 miles away and Jacquilene is at trall head

In the graph the blue line and red line meet at (2,4)

Thus, jacqueline and shayne meet at 4 miles away from trallhead in 2 seconds

The hikers are at 4 miles away from trallhead

A system of equation is said to be consistent if they have only one solution and inconsistent if they have many solution.

A system of equation is said to be dependent if they have many solution and independent if they have single solution

Since the equation of line is meet at one point thus, they have only one solution

Hence the system of equation is consistent and independent.

Answer:

A) 4 miles, Independent, consistent