Respuesta :
Answer:
29900 ft
Step-by-step explanation:
just plug in 18 for x
A function assigns the values. The predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
The measure of the height of an airplane at a certain time is given by the function,
[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}[/tex]
where x is the time in minutes and y is the height of the airplane.
Now, the height of the plane after 18 minutes post takeoff can be calculated by substituting the value of time, x as 18 in the function.
[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-0.9948 \times 18}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}[/tex]
[tex]y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}\\\\y = \dfrac{29,864 }{1+(9.381 \times 1.6724 \times 10^8)}\\\\y = \dfrac{29,864 }{1+(1.5689 \times 10^8)}\\\\y = \dfrac{29,864 }{1.000000157}[/tex]
y = 29864 ft
Hence, the predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.
Learn more about Function here:
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