SOLUTION: Juan is driving on the highway. He begins the trip with
18
gallons of gas in his car. The car uses up one gallon of gas every
20
miles.
Let
G
represent the number of g
Algebra.Com
Question 941811: Juan is driving on the highway. He begins the trip with
18
gallons of gas in his car. The car uses up one gallon of gas every
20
miles.
Let
G
represent the number of gallons of gas he has left in his tank, and let
D
represent the total distance (in miles) he has traveled. Write an equation relating
G
to
D
, and then graph your equation using the axes below.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
[( 1 gallon ) / ( 20 mi )] x D = ( gallons used )
= gallons used
for instance, if he travels mi, then
( gallons used ) =
---------------------------
( gallons left in tank ) = ( 18 gallons ) - ( gallons used )
-----------------------
This is the equation to use, but if you have to graph it,
you need to decide which variable is dependent and
which variable is independent.
You have to choose between:
(1) G depends on D
OR
(2) D depends on G
----------------------
(1) is correct, because the gallons I have left in my tank
DEPENDS on how far I have driven
----------------------
So, G is the DEPENDENT variable, and that makes
D the INDEPENDENT variable
----------------------
The independent variable is always plotted on the
horizontal axis
The dependent variable is always plotted on the
vertical axis
-----------------------
So, I want my equation to look like:
, so it is correct as shown:
Here's the plot:
The graph looks OK
If ,
If ,
RELATED QUESTIONS
Ali is driving on the highway. He begins the trip with 12 gallons of gas in his car. The... (answered by mananth)
Miguel is driving on the highway. He begins the trip with
12 gallons of gas in his car. (answered by stanbon)
Jessica is driving on the highway. She begins the trip with 14 gallons of gas in her car. (answered by ankor@dixie-net.com)
Susan is driving on the highway. She begins the trip with
18
gallons of gas in her... (answered by josgarithmetic)
Alonzo is driving on the highway. He begins the trip with gallons of gas in his car. The... (answered by stanbon)
Debra is driving on the highway. She begins the trip with 14 gallons of gas in her car.... (answered by ewatrrr)
Jim's car gets 26 miles per gallon on the highway and 18 miles per gallon in city... (answered by josgarithmetic)
Elsa is driving on the highway. She begins the trip with gallons of gas in her car. The... (answered by malaydassharma)
Hello, I would like some help with this problem,
On a recent trip, George traveled... (answered by ankor@dixie-net.com,josmiceli)