Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:**Question 10:**
*Are the quantities in the following rates proportional? Answer yes or no and explain the reason for your answer.*
- 200 miles in 4 hours and 500 miles in 5 hours.
To determine if the quantities are proportional, calculate the rates for each scenario and compare them:
1. **Rate for 200 miles in 4 hours:**
- \( \text{Rate} = \frac{200 \text{ miles}}{4 \text{ hours}} = 50 \text{ miles per hour} \)
2. **Rate for 500 miles in 5 hours:**
- \( \text{Rate} = \frac{500 \text{ miles}}{5 \text{ hours}} = 100 \text{ miles per hour} \)
The rates are 50 miles per hour and 100 miles per hour respectively, which are not equal. Therefore, the quantities are not proportional.
Expert Solution
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Step 1
We have to check whether the statement, " miles in hours and miles in hours" are proportional or not.
miles in hours
Therefore,
And for miles in hours
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