Final Answer:
a. 10 miles, b. 15 miles, c. 20 miles, d. 25 miles, e. 30 miles, f. 35 mile
Using the formula (d = rt) with (t = 0.5) hours, the distances the guilty party might have traveled during the past half-hour are estimated at the specified time intervals.
Step-by-step explanation:
In this scenario, the formula used to calculate distance is (d = rt), where (d) represents distance, (r) is the rate or speed of the guilty party, and (t) is the time. Given that (t = 0.5) hours, we can apply this formula to estimate the distances the guilty party might have traveled during the past half-hour.
a. For (t = 0.5) hours, the distance (d) is calculated as (d = r * 0.5). If we assume a constant speed, the distance would be 10 miles.
b. Similarly, for (t = 0.5) hours, if the guilty party continued at the same speed, the distance traveled would be (r * 0.5 = 15\) miles.
c. Continuing this pattern, for (t = 0.5) hours, the estimated distance would be (20) miles.
d. For (t = 0.5) hours, the distance (d) would be (r * 0.5 = 25) miles.
e. If the guilty party maintained the same speed for (t = 0.5) hours, the distance traveled would be 30 miles.
f. Finally, for (t = 0.5) hours, the estimated distance would be (r * 0.5 = 35) miles.
This approach allows the police to set up roadblocks at different distances, covering a range of potential locations based on the time elapsed.