Modeling And Writing Quadratic Equations Worksheet - Ms. Gallagher Page 3
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3Example Four Find the curve of best fit
A pumpkin tossing contest is held each year in Morton, Illinois where people compete to
see whose catapult will send a pumpkin the farthest. One catapult launches pumpkins
at 25 feet above the ground at a speed of 125 feet per second. The table shows the
horizontal distance (in feet) that the pumpkin travels when released at different angles.
Find the curve of best fit for the data.
What is the best angle to launch the pumpkin?
What is the maximum distance the pumpkin will travel?
You Try Find the curve of best fit
The following table shows the number of scrap parts P produced by a large
manufacturing company from 1996 – 2004. Quality control is working to eliminate the
production of scrap. Assume that t is the number of years since 1996 and P is measured
in thousands.
Year, t
0
1
2
3
4
5
6
7
8
Scraps, P
10.1
9.9
9.7
9.5
9.1
8.9
8.2
7.4
6.7
What is the curve of best fit for the data?
When will they produce 5,000 scraps?
When will they produce no scraps?
How many scraps will they produce in 2006?
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