Three siblings are participating in a family-friendly running event. - The oldest sibling begins at the start line of the race and runs 7 miles per hour the entire time. - The middle sibling begins at the start line and walks at 3.5 miles per hour throughout the race. - The youngest sibling joins the race 4 miles from the start line and runs 5 miles per hour the rest of the way.

The siblings walking or running at a constant rate, illustrates a linear function.

The complete question requires that, we match each graph to the sibling (see attachment)

Oldest sibling

--- start line

So, the equation is:

When

This means that;

The graph of the oldest sibling passes through

The graph of the oldest sibling is Graph B

Middle sibling

--- start line

So, the equation is:

When

This means that;

The graph of the middle sibling passes through

The graph of the middle sibling is Graph C

So, we can conclude that:

The graph of the youngest sibling is Graph A

Read more about graphs at:

link

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.