9514 1404 393
Answer:
(c) y = 1.87x^2 -5.16x +10.54
Step-by-step explanation:
The attached graphing calculator output shows the best choice is the third one.
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<em>Additional comment</em>
The best fit is offered by a function of degree about 3.7. Even a cubic offers much better fit than this quadratic.
The equation represents height as a function of time.
The bullet was in the air for 75 seconds.
The equation is given as:
The time spent in the air is the time it takes the bullet to land on the ground.
When the bullet is on the ground, the height is:
So, we have:
Factor out t
Split
or
represents when the shot is fired.
So, we solve for t in
Collect like terms
Divide both sides by 16
Hence, the bullet was in the air for 75 seconds
Read more about height and time at: