Final answer:
Alyssa drove 16 2/3 miles in 15 minutes. Multiplying that distance by 4 to find the hourly distance, she would have traveled 66 2/3 miles in one hour, corresponding to answer option (a) 66 1/2 miles.
Step-by-step explanation:
To solve the problem of how far Alyssa drove in one hour, we should first recognize that the driving time given is 15 minutes, which is ⅔ of an hour. If she drove 16 2/3 miles in that time at a constant rate, we can calculate the distance driven in one full hour by multiplying the distance by 4 (× 4, since there are 4 intervals of 15 minutes in an hour).
First, convert 16 2/3 miles to an improper fraction: 16 × 3 + 2 = 50/3 miles.
Next, multiply the distance by 4:
50/3 miles × 4 = 200/3 miles = 66 2/3 miles.
This means Alyssa would have driven 66 2/3 miles in one hour at her constant rate. The rounded down answer is option (a) 66 1/2 miles, as no other options closely match the exact distance calculated.