Question

A particular car can travel 40 miles for every gallon of fuel that it burns. Which graph best represents the relationship between the miles travelled and the gallons of fuel used?

PLZ help me

Answer 1

The relationship between the miles travelled and the gallons of fuel used is represented by
`y = 40\cdot x`, whose graph is included below.

The performance of the particular car is described by a linear function, whose characteristics are shown below:

`y = m\cdot x+b` (1)

Where:

• 
  `m` - Slope, in miles per gallon.
• 
  `x` - Fuel capacity, in gallons.
• 
  `y` - Travelled distance, in miles.
• 
  `b` - Initial position, in miles.

If we know that
`b = 0\,ft` and
`m = 40\,(mi)/(gal)`, then the linear function of the particular car is:

`y = 40\cdot x` (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
`y = 40\cdot x`, whose graph is included below.