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The following table shows the number of feet a helicopter flies above the ground as a function of time:


Time (in seconds)
x Distance above ground (in feet)
f(x)
0 18
2 16
4 14
6 12
8 10


Find and interpret the meaning of the x‐intercept in this scenario.
(10, 0); the time it takes for the helicopter to reach the ground
(18, 0); the time it takes the helicopter to take off
(10, 0); the time it takes the helicopter to take off
(18, 0); the time it takes for the helicopter to reach the ground

Respuesta :

Using a linear function and applying the concept of the x-intercept, it is found that the correct option is:

  • (18, 0); the time it takes for the helicopter to reach the ground

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A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

  • m is the slope, which is the rate of change.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The initial height is of 18 feet, thus [tex]b = 18[/tex].
  • After 2 seconds, the height is 16 feet, that is, in 2 seconds the height decayed 2 feet, thus [tex]m = -\frac{2}{2} = -1[/tex]

The function for the height after x seconds is:

[tex]y = -x + 18[/tex]

The x-intercept is the value of x when y = 0, that is, the time it takes for the helicopter to reach the ground. Then:

[tex]-x + 18 = 0[/tex]

[tex]-x = -18[/tex]

[tex]x = 18[/tex]

Thus, point (18,0), and the correct option is:

(18, 0); the time it takes for the helicopter to reach the ground

A similar problem is given at https://brainly.com/question/16410154

ssthegod123

Answer:

(18, 0); the time it takes for the helicopter to reach the ground

Step-by-step explanation:

I got it right on my Quiz

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