Question

unit 1 lesson 3

1. commercial jets fly between 30,000 ft and 36,000 ft. about how many hours of growing could pass before the beanstalk might interfere with commercial aircrafts? explain how you got your answer.

Explanation:

Step1: Assume beanstalk growth rate

Assume a beanstalk grows at a rate of, say, 10 feet per hour (this rate is assumed as it's not given in the problem. Let's use \(r = 10\) ft/hour for illustration).

Step2: Calculate time for lower - limit

To reach 30000 ft, using the formula \(t=\frac{d}{r}\) (where \(t\) is time, \(d\) is distance, \(r\) is rate), for \(d = 30000\) ft and \(r=10\) ft/hour, we have \(t_1=\frac{30000}{10}=3000\) hours.

Step3: Calculate time for upper - limit

For \(d = 36000\) ft and \(r = 10\) ft/hour, using the same formula \(t=\frac{d}{r}\), we get \(t_2=\frac{36000}{10}=3600\) hours.

Answer:

If the beanstalk grows at 10 feet per hour, it could take between 3000 hours and 3600 hours for the beanstalk to interfere with commercial aircraft. The time is calculated using the formula \(t=\frac{d}{r}\), where \(d\) is the height the beanstalk needs to reach (30000 - 36000 ft) and \(r\) is the growth rate of the beanstalk.