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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**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.
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
Step 1

We have to check whether the statement, "200 miles in 4 hours and 500 miles in 5 hours" are proportional or not.

200 miles in 4 hours

Therefore, rate=2004=50 miles/hours

And  for 500 miles in 5 hours

rate=5005=100 miles/hours

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