1 During a hurricane, as much as 0.09 inch of rain can fall in 1 minute. Jamal claims that more than 2 inches of rain would fall in 8 minutes. Is Jamal's claim reasonable? Explain.

To determine whether Jamal's claim is reasonable, let's analyze the rainfall rate and the total expected precipitation over the specified time period. 1. **Given Rainfall Rate:** - **Maximum Rate:** 0.09 inches per minute 2. **Jamal's Claim:** - **Total Rainfall:** More than 2 inches in 8 minutes 3. **Calculating Expected Rainfall Over 8 Minutes:** \[ \text{Total Rainfall} = \text{Rainfall Rate} \times \text{Time} = 0.09 \, \text{inches/minute} \times 8 \, \text{minutes} = 0.72 \, \text{inches} \] 4. **Comparison:** - **Expected Rainfall:** 0.72 inches - **Jamal's Claim:** >2 inches 5. **Conclusion:** - **Reasonableness:** Jamal claims that more than 2 inches of rain would fall in 8 minutes. However, based on the maximum known rainfall rate of 0.09 inches per minute, the expected rainfall in 8 minutes is only 0.72 inches. - **Assessment:** Jamal's claim is **not reasonable** because it significantly exceeds the calculated maximum possible rainfall under the given conditions. **Final Answer:** No, Jamal's claim is unreasonable. At a maximum rate of 0.09 inches per minute, only about 0.72 inches of rain would fall in 8 minutes, which is less than the over 2 inches he asserts.