Claire filled up her car with gas before embarking on a road trip across the country. Let G represent the number of gallons of gas remaining in her gas tank after driving for t hours. A graph of G is shown below. Write an equation for G then state the slope of the graph and determine its interpretation in the context of the problem.

Slope =

Step-by-step explanation:

Let the equation representing the number of gallons left in the gas tank is,

G = mt + b

Where m = slope of the line

b = y-intercept of the line

Slope of the line passing through two points and is,

'm' =

Slope of the line passing through (8, 5) and (4, 10),

m =

m = -

Equation of line will be,

G =

Since, point (8, 5) lies on this line,

5 =

5 = -10 + b

b = 15

Therefore equation of the function will be,

G =

Here slope of the function represents the gallons of gas is consumed to drive the car for one hour.