Question

2. A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found using the function f(x) = −1.5x + 69, where x is the time in seconds the airplane has been in the air.

a. Draw the graph of the function

b. How many seconds did it take the paper airplane to reach the ground?

c. Explain your answer.

Answer 1

points of a are

Explanation:

y=69 and x= 46

Answer 2

It takes 46 seconds for the plane to reach the ground.

Explanation:

We are given the following in the question:

The height of the paper airplane above the ground is given by a function:

`f(x) = -1.5x + 69`

where f(x) is the height above the ground and x is the time in seconds.

a) The attached image shows the graph for the given equation.

As clear from the graph the unction has a y-intercept of 69 and x-intercept of 46.

b) We have to find the time taken by he plane to reach the ground.

The height of plane on ground is 0

Thus, we can write:

`0 = -1.5x + 69\\1.5x = 69\\x = \displaystyle(69)/(1.5)\\\\x = 46`

c) Thus, it takes 46 seconds for the plane to reach the ground from the top of the tall building to reach a height of 0.