SOLUTION: at 1:00 P.M you and your friend leave your houses on bicycles and head toward the park. you travel at a speed of 25feet per second, and your friend also travels at a constant speed

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: at 1:00 P.M you and your friend leave your houses on bicycles and head toward the park. you travel at a speed of 25feet per second, and your friend also travels at a constant speed      Log On


   



Question 343594: at 1:00 P.M you and your friend leave your houses on bicycles and head toward the park. you travel at a speed of 25feet per second, and your friend also travels at a constant speed. you both reach the park at the same time.
(from your house to your friends house is 2000feet. from your friends house to the park is 3000feet.)
a.)write and gragh an equation giving your distance (d) in feetfrom the park after (t)seconds.
b.)at what speed does your friend travel to the park? explain how you found your answer.
c.)write an equation giving your friends distance (d) in feet from the park after (t) seconds. graph the equation in the same coordinate plane you used for part A.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
at 1:00 P.M you and your friend leave your houses on bicycles and head toward the park.
you travel at a speed of 25feet per second, and your friend also travels at a
constant speed. you both reach the park at the same time.
(from your house to your friends house is 2000feet.
from your friends house to the park is 3000feet.)
a.)write and graph an equation giving your distance (d) in feet from the park after (t)seconds.
:
From the given information, you are 5000 ft from the park
d = 5000 - 25t
+graph%28+300%2C+200%2C+-100%2C+300%2C+-2000%2C+6000%2C+5000-25x%29+
:
;
b.)at what speed does your friend travel to the park? explain how you found your answer.
Your friend travels 3000 ft in the same time as you travel 5000
Find your travel time
5000 - 25t = 0
-25t = -5000
t = 5000%2F25
t = 200 seconds
Find the friend's speed; speed = dist/time
3000/200 = 15 ft/sec
:
:
c.)write an equation giving your friends distance (d) in feet from the park after (t) seconds.
graph the equation in the same coordinate plane you used for part A.
d = 3000 - 15t
+graph%28+300%2C+200%2C+-100%2C+300%2C+-2000%2C+6000%2C+5000-25x%2C+3000-15x%29+