The answer for the given question is Option D, it is the best represent graph for the number of gallons of fuel remaining.
Step-by-step explanation:
The given is,
Maximum capacity of fuel rake is 26 gallons.
For every 48 miles of car decreases by 2 gallons.
Step:1
From the given,
Total fuel capacity, F = 26 gallons
Distance = 384 miles (∵ total distance is obtained from given diagram)
Step:2
Fuel for 48 miles consumes 2 gallons
Gallons for total ride = Total miles × Fuel for each miles.................(1)
Step:3
Fuel consumption for each mile,
= [tex]\frac{Distance}{Fuel consumption for given distance}[/tex]
= [tex]\frac{48}{2}[/tex] (∵ from given)
= 0.04166667 gallons per mile
Step:4
From eqn (1),
consumption Gallons for the ride = 384 × 0.0416667
= 16 gallons
Step:5
Fuel (Gallons) remaining after the ride,
= Maximum capacity - consumption Gallons for the ride
= 26 - 16
= 10 gallons
Result:
The best represent graph for the number of gallons of fuel remaining is option D, fuels consumption for the ride is 16 gallons, fuels remaining are 10 gallons.
