The relationship between the miles travelled and the gallons of fuel used is represented by [tex]y = 40\cdot x[/tex], whose graph is included below.
The performance of the particular car is described by a linear function, whose characteristics are shown below:
[tex]y = m\cdot x+b[/tex] (1)
Where:
- [tex]m[/tex] - Slope, in miles per gallon.
- [tex]x[/tex] - Fuel capacity, in gallons.
- [tex]y[/tex] - Travelled distance, in miles.
- [tex]b[/tex] - Initial position, in miles.
If we know that [tex]b = 0\,ft[/tex] and [tex]m = 40\,\frac{mi}{gal}[/tex], then the linear function of the particular car is:
[tex]y = 40\cdot x[/tex] (2)
By the help of a graphing tool we have the expected graph for the particular car.
The relationship between the miles travelled and the gallons of fuel used is represented by [tex]y = 40\cdot x[/tex], whose graph is included below.
