Question

I beg please help :(

Stephanie, Andrea, Emily, and Becca are planning a road trip from their home town to San Antonio, Texas as shown on the graph below.

13. ​If the girls take turns driving and each girl drives the same distance, at what point should they stop for Emily to begin her turn as the third driver?

14. At what point does Emily’s turn to drive end?

Answer 1

(2.8, 0.8)

(0.8, -1.8)

Explanation:

1. Home (Xa, Ya)= (8, 6)

San Antonio (Xb, Yb)=(-5, -7)

Xa-Xb=8-(-5)=13

Ya-Yb=6-(-7)=13

Emily starts at 2/5 of the road, make it (Xc, Yc)

Xc= Xa-(Xa-Xb)2/5=8-5.2=2.8

Yc=Ya-(Ya-Yb)2/5=6-5.2=0.8

=> Emily starts at (2.8, 0.8)

2.

Emily ends at 3/5 of the road, , make it (Xd, Yd)

Xd= Xa-(Xa-Xb)3/5=8-7.8=0.8

Yd=Ya-(Ya-Yb)3/5=6-7.8=-1.8

=> Emily ends at (0.8, -1.8)