Question4. 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 ( ) and the height of the paper airplane above the ground.
What does the -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.
Studdy Solution
STEP 1
What is this asking? When does the paper airplane hit the ground? Watch out! Don't confuse the *-intercept* with the *-intercept*!
STEP 2
1. Understand the x-intercept
2. Relate to the problem
STEP 3
Alright, so, what *is* an *-intercept*?
It's where the graph crosses the *-axis*!
And what does the *-axis* represent?
It represents *time* in this problem.
STEP 4
So, the *-intercept* is the *time* when the height is *zero*.
Think about it: any point on the *-axis* has a *-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 *-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.
STEP 7
The correct answer is (d).
The *-intercept* represents the number of seconds the airplane is in the air.
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