Fuel Economy is terrible, at 0.65L per km; develop linear model for remaining fuel

[lavagirl]

Adams Car has terribble fuel economy, approximately 0.65L per km. Develop a linear model of adams car that represents the fuel remaining in the tank, A, s a function of the distance, dkm, the car could travel from that date, assuming the tank has 85L of fuel remaining on day 1.

A= remaining fuel
d = kilometres
m= L/Km
N fuel tank capacity

 

[Deleted member 4993]

Adams Car has terribble fuel economy, approximately 0.65L per km. Develop a linear model of adams car that represents the fuel remaining in the tank, A, s a function of the distance, dkm, the car could travel from that date, assuming the tank has 85L of fuel remaining on day 1.

A= remaining fuel
d = kilometres
m= L/Km
N fuel tank capacity

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/for

 

[HallsofIvy]

You want "remaining fuel" to be a function of "distance driven", A= f(d). In fact, you are told to make it a linear function so A= pd+ q for some numbers p and q. You just need to find correct values for p and q. Suppose d= 0. That is, suppose you haven't driven any distance at all. How much fuel is left in your tank? If d= 0, A= p(0)+ q= q so that is q. Suppose you drive 100 km so d= 100. A= 100p+ q. How much fuel is used driving 100 km? So how much fuel do you have left? Set that equal to A in A= 100p+ q. Since you already have found q, you have a simple equation to solve for p.