Answer:
[tex]G = -D/20 + 14[/tex]
Graph in the image attached.
Step-by-step explanation:
Using the model of a linear equation, we have:
[tex]G = aD + b[/tex]
'b' is the y-intercept of the equation, that is, the inicial value of G, when D = 0.
So if David starts the trip with 14 gallons of gas, we have b = 14.
'a' is the slope of the line, that is, an increase of 1 in the value of D causes an increase of 'a' in the value of G.
So if the car uses one gallon every 20 miles, the value of a is -1/20 (an increase of 20 in D causes a decrease of 1 in G).]
So our equation is:
[tex]G = -D/20 + 14[/tex]
The graph of this equation is in the image attached.
