Respuesta :
An exponential function is a function that increases rapidly as the time increases.
- The number of hours that passes before the magical beanstalk interferes with commercial flight is approximately 9.384 hours.
Reasons:
The function that gives the height of a beanstalk is presented as follows;
b(t) = [tex]3^t[/tex]
When the height is 30,000 ft., we have;
30,000 = [tex]3^t[/tex]
㏑(30,000) = t·㏑(3)
[tex]\displaystyle t = \mathbf{\frac{ln(30,000)}{ln(3)}} \approx 9.384[/tex]
The time it would take the beanstalk to grow 30,000 ft., t ≈ 9.384 hours
Similarly, the time it would take the beanstalk to grow to 36,000 ft. is found as follows;
[tex]\displaystyle t_{36,000} = \mathbf{\frac{ln(36,000)}{ln(3)}} \approx 9.55[/tex]
The time it would take the beanstalk to grow 36,000 ft., t ≈ 9.55 hours
The number of hours it will take the beanstalk to grow to 30,000 feet at
which it might interfere with commercial aircrafts is 9.384 hours.
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https://brainly.com/question/13917934
