the complete question in the attached figure
A) The points in the table are
(0,84) (1,146) (2,208) (3,270)
To find the equation of the line------- > y=mx+b-------- > select two points(0,84) (1,146)
m=(y2-y1)/(x2-x1)-------> m=(146-84)/(1-0)=62/1=62
84=62*0+b-------------- > b=84
Then
y=62x+84
the answer to the question A is y=62x+84
B) Equation of remaining gasoline is g=16-(1/20)*d
a) For d=100 miles
g=16-(1/20)*100=11 gallons
b) For d=200 miles
g=16-(1/20)*200=6 gallons
c) For d=300 miles
g=16-(1/20)*300=1 gallons
C) Using a graphic tool ----------- > view the graphic in file attached
g=16-(1/20)*d
D) Explain why the slope of the drawn line in part C must be negative
The slope is negative because as the car advances gasoline is consumed to the point (320.0)
When the gasoline is zero (g=0) the car has traveled 320 miles