Fuel Economy of Automobiles
Hybrid Vehicle vs Non-Hybrid Vehicle
We gave both cars 10 litres of fuel. We put them in a race against each other and compared how farther the Rainbow model S Hybrid goes than the Rainbow Model Z.
Graph displaying the Performance Results of Both cars.
Red: Rainbow Model S Hybrid
We Made the Calculations
(10,23)
(8,18.6)
m = Delta y / Delta x
m = 18.6 - 23 / 8 - 10
m = -4.4 / 2
m = 2.2
y - intercept
Therefore we can substitute the values into y = mx + b as:
y = 2.2x + 1
(10,25.7)
(8,20.56)
m = Delta y / Delta x
m = 20.56 - 25.7 / 8 - 10
m = -5.14 / -2
m= 2.57
y - intercept = none
Therefore we can substitute the values in the equation y = mx + b as:
y = 2.57x
Our Results So Far Conclude
We acknowledge that there was a 1 kilometer head start given to the non-hybrid, so we can take out the y - intercept for the car's equation to make a fair comparison.
The 2 lines intersect at (2.7, 6.946)
This means the following:
- Up until 2.7 litres of fuel the non - hybrid seems to be better as it is travelling further
- The hybrid seems less convenient up until the 2.7 litres mark
- The hybrid seems as it is a more fuel efficient car than the non - hybrid after the 2.7 litres mark.
However the company realized
So they tested both cars again starting them both at point (0,0) and the results where simple and the same, just clearer to see how more efficient the hybrid was compared to the non - hybrid.
y = 2.2x
and the equation for the Rainbow Model S hybrid was still
y = 2.57x