Question

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

Answer 1

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:

$y = mx + b$

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 $b = 18$.

• After 2 seconds, the height is 16 feet, that is, in 2 seconds the height decayed 2 feet, thus $m = -\frac{2}{2} = -1$

The function for the height after x seconds is:

$y = -x + 18$

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:

$-x + 18 = 0$

$-x = -18$

$x = 18$

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 brainly.com/question/16410154