At a lake, Felicia is rowing a boat toward the shore at 5 feet per second. When she is 550 feet from the shore, Jeanine starts swimming toward her at a speed of 3 feet per second. The graph of the two lines on the coordinate plane below shows the girls' distances from shore based on the number of seconds since Jeanine started swimming toward Felicia,
x
.
image a101f4e3fb0646848f2c9e34f26a644c
Select THREE statements are true.
A.
Solving the equation
3
x
=
550
−
5
x
will give the
x
-coordinate of the point of intersection of the two lines on the graph.
B.
Solving the equation
3
y
=
550
−
5
y
will give the total distance traveled when the two girls meet.
C.
The intersection of the lines represented by
f
(
y
)
=
3
y
and
g
(
y
)
=
550
−
5
y
will give the distance from shore where the two girls meet.
D.
The intersection of the lines represented by
f
(
x
)
=
3
x
and
g
(
x
)
=
550
−
5
x
will give the distance from shore where the two girls meet.
E.
The girls will meet between 65 and 70 seconds after Jeanine started swimming toward Felicia.
F.
The girls will meet between 200 and 250 seconds after Jeanine started swimming toward Felicia.