Mrs. Burkett will need approximately 18 trips to haul the 46.8 tons of gravel. Therefore, the correct answer is option H: 18.
To find out how many trips Mrs. Burkett needs to make, you can divide the total amount of gravel she needs to haul by the amount her truck can carry in one trip.
Total tons of gravel = 46.8 tons
Truck capacity per trip = 2 3/5 tons
Now, convert the mixed number to an improper fraction:
2 3/5 = (2 * 5 + 3)/5 = 13/5
Now, divide the total tons of gravel by the truck capacity per trip:
46.8/ 13/5
When you divide by a fraction, you can multiply by its reciprocal:
46.8× 5/13
Now, calculate this:
46.8×5/ 13
234 / 13
Mrs. Burkett will need approximately 234/ 13 trips.
Now, let's see which option is closest.
234/ 13 ≈18
So, Mrs. Burkett will need approximately 18 trips to haul the 46.8 tons of gravel. Therefore, the correct answer is option H: 18.