# 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

###### Question:

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

## Answers

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 ---------------------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