Final answer:
To determine the gasoline used for 100 miles, the rate of usage per mile is multiplied by 100, yielding 2.8571 gallons, which rounded to the nearest hundredth is 2.86 gallons.
Therefore, answer A, 2.86 gallons, is correct.
Step-by-step explanation:
To calculate the amount of gasoline used to go 100 miles by a car that travels 35 miles per gallon, we can use the rate of gasoline usage per mile given as 1/35 of a gallon. Multiplying the rate by the distance gives us:
Gasoline used = 1/35 gallon/mile × 100 miles = 100/35 gallons
Now let's simplify and round to the nearest hundredth:
Gasoline used = 2.8571...
Then rounded to the nearest hundredth, the gasoline used is 2.86 gallons.
Therefore, the correct answer is A. 2.86 gallons.