Question

Please help! The following table shows the number of feet a helicopter flies above the ground as a function if time

Find and interpret the meaning of the x -interpret 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

Answer 1

18,0 the time it takes or the helicopter to reach the ground.

Explanation:

if you look at the table, it slowly is decreasing, therefore it is going towards the ground.

Answer 2

Answer: The correct option is

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

Step-by-step explanation: Given that the table shown in the picture gives the number of feet a helicopter flies above the ground as a function of time.

We are to find and interpret the meaning of the x -interpret in this scenario.

From the table, we note that

the graph of function f(x) will pass though the points (0, 18) and (2, 16).

So, the slope of the line graph of f(x) is

`m=(16-18)/(2-0)=(-2)/(2)=-1`

Since the line passes through the point (0, 18), so its equation will be

`y-18=m(x-0)\\\\\Rightarrow y-18=-1*x\\\\\Rightarrow y=-x+18.`

Now, to find x-intercept, we need to substitute y = 0 in the equation of the line.

So, at y = 0, we get

`0=-x+18\\\\\Rightarrow x=18.`

Therefore, the required x-intercept is (18, 0) and is shows that the time taken by the helicopter to reach the ground is 18.

Thus, option (D) is CORRECT.