Final answer:
The rainfall rate is 2/3 inch per hour, calculated by dividing the amount of rain (1/2 inch) by the duration over which it fell (3/4 hour). This result is not provided in the multiple-choice options.
Step-by-step explanation:
If 1/2 inch of rain fell during 3/4 hour, the rate of rainfall can be found by dividing the amount of rain by the duration over which it fell. Here are the steps to calculate the rain rate in inches per hour:
- Divide the amount of rain, which is 1/2 inch, by the time period, which is 3/4 hour.
- To perform the division, you multiply 1/2 by the reciprocal of 3/4, which is 4/3.
- Therefore, the rain rate calculation will be (1/2) * (4/3) = 4/6, which simplifies to 2/3 inch per hour.
The correct answer is not listed among the options a) 2/4, b) 3/8, c) 1/3, d) 4/3. Instead, the correct rain rate is 2/3 inches per hour.