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Math

Math Snap

PROBLEM

4. A paper airplane is thrown from the top of a building. The graph shows the relationship between the time, in seconds, after the paper airplane is thrown ( xx ) and the height of the paper airplane above the ground.
What does the xx-intercept of the graph indicate?
(a) The height from which the airplane is thrown.
(b) The speed at which the airplane is traveling.
(c) The maximum height that the airplane reaches.
(d) The number of seconds the airplane is in the air.

STEP 1

What is this asking?
When does the paper airplane hit the ground?
Watch out!
Don't confuse the x\text{x}-intercept with the y\text{y}-intercept!

STEP 2

1. Understand the x-intercept
2. Relate to the problem

STEP 3

Alright, so, what is an x\text{x}-intercept?
It's where the graph crosses the x\text{x}-axis!
And what does the x\text{x}-axis represent?
It represents time in this problem.

STEP 4

So, the x\text{x}-intercept is the time when the height is zero.
Think about it: any point on the x\text{x}-axis has a y\text{y}-value (or height) of zero.

STEP 5

Now, what does a height of zero mean for our paper airplane?
It means the airplane is on the ground!
It's landed!

STEP 6

So, the x\text{x}-intercept tells us the time it takes for the airplane to go from the top of the building all the way down to the ground.
In other words, how long the airplane is in the air.

SOLUTION

The correct answer is (d).
The x\text{x}-intercept represents the number of seconds the airplane is in the air.

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