SOLUTION: Mr Bean’s car has terrible fuel economy, approximately 0.65 litres per km. Develop a linear model of Mr Bean’s car that represents the fuel remaining in the tank, A, as a function

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Question 967734: Mr Bean’s car has terrible fuel economy, approximately 0.65 litres per km. Develop a linear model of Mr Bean’s car that represents the fuel remaining in the tank, A, as a function of the distance (in km), d, the car could travel from that date, similar to the three completed in Task 1(e),
assuming the tank has 85 litres of fuel remaining on the same day as you estimated the amount of fuel remaining in the other three cars.
So for task 1(e) I created linear models in the from of A=-md + N
where A is fuel remaining, m is fuel economy as L/km, d is distance in km and N is total fuel tank capacity.
An idea:
85=-0.65d + N
Im still not sure about my answer, any answers and clarification would be helpful. Thanks

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i think your equation should be:

A = N - .65 * d

this can also be expressed as:

A = -.65 * d + N

A is the fuel remaining.
d is the number of kilometers traveled.
N is the fuel capacity at the beginning of the trip.

your equation would therefore be:

A = -.65 * d + 85

if you let y = A and x = d, then the equation becomes:

y = -.65 * x + 85.

the graph of that equation is shown below:

graph%28400%2C400%2C-10%2C150%2C-10%2C100%2C-.65%2Ax%2B85%29

if he travels 0 kilometers, then he has 85 liters in the tank.

he will run out of gas when he has traveled 130.7692308 kilometers.