Question 1121237: Very confused with this problem, any help would be appreciated!
Cody leaves his friend Mia’s house and drives along the road shown in the diagram below.
http://i65.tinypic.com/1zxc0k.jpg
Somewhere between Mia’s house and the restaurant, Cody’s car runs out of
gas. Cody has an empty gas can in his car, but he does not want to leave the car
unattended. Cody calls Mia, who drives to Cody’s car to pick up his gas can. She then
drives to the gas station that is located on the same road. After Mia fills the gas can,
she drives back to Cody’s car. She gives Cody the gas can, and then drives to the
restaurant along the same road to meet another friend for lunch. When she reaches the restaurant, Mia has driven a total of 34 miles.
Task Description:
Determine how far Cody is from Mia’s house when his car runs out of gas. Find all
possible distances.
A. Assign a variable to one unknown distance in your diagram.
Write an algebraic expression for each of the following distances:
B. The distance Mia drove from her house to Cody’s car.
C. The distance Mia drove between the time she picked up Cody’s gas can and the time she delivered the full gas can to Cody.
D. The distance Mia drove to the restaurant after leaving Cody.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Cody leaves his friend Mia’s house and drives along the road shown in the
Somewhere between Mia’s house and the restaurant, Cody’s car runs out of
gas.
Cody has an empty gas can in his car, but he does not want to leave the car
unattended. Cody calls Mia, who drives to Cody’s car to pick up his gas can.
She then drives to the gas station that is located on the same road.
After Mia fills the gas can, she drives back to Cody’s car.
She gives Cody the gas can, and then drives to the restaurant along the same road to meet another friend for lunch.
When she reaches the restaurant, Mia has driven a total of 34 miles.
M--------9----------GS-----x-----*-----(11-x)--------R
* = the car
x = dist from the gas station to the car
(11-x) = dist from the car to the rest
Task Description:
Determine how far Cody is from Mia’s house when his car runs out of gas.
Find all possible distances.
A. Assign a variable to one unknown distance in your diagram.
Write an algebraic expression for each of the following distances:
:
B. The distance Mia drove from her house to Cody’s car.
9+x = dist from house to the car
:
C. The distance Mia drove between the time she picked up Cody’s gas can and the time she delivered the full gas can to Cody.
2x = the dist to and from the gas station to the car
:
D. The distance Mia drove to the restaurant after leaving Cody.
11 - x = dist from the car to the rest
:
Total dist equation
9+x + 2x + 11-x = 34
x + 2x - x + 9 + 11 = 34
2x + 20 = 34
2x = 34 - 20
2x = 14
x = 4/2
x = 7 mi from the gas station to the car
therfore
9 + 7 = 16 mi from M's house to the car
11 - 7 = 4 mi from the car to the restaurant
:
:
Did I manage to unconfuse you?? CK
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