Polynomial Models In The Real World

8 September 2022
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7 test answers

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question
What polynomial has a graph that passes through the given points? (-4, 89), (-3, 7), (-1, -1), (1, -1), (4, 329)
answer
y = x4 + 2x3 - 3x2 - 2x + 1
question
The table shows the amount of milk that Wisconsin dairy farms produced from 1937 to 1968. Which model best fits this data? Year Milk Produced (in billions of lbs.) . 1937 12 1968 16 1995 20
answer
y = 0.139x + 6.57
question
Find a model for the set of values. x / -5, -4, 0, 4, y/ 25, 16, 2, 16,25
answer
D. (0,1)
question
The table shows the annual consumption of cheese per person in the United States for selected years in the 20th century. Year Pounds Consumed 1908 5.027 1923 8.768 1960 12.29 1981 15.485
answer
y = 0.0000541x3 - 0.00789x2 + 0.452x + 1.888
question
If you were going to use this model to estimate the amount of cheese consumed per person in 1976, would that prediction be considered interpolation or extrapolation?
answer
interpolation
question
What is the domain of the graph for the data set?
answer
1908 ≀ domain ≀ 1981
question
Suppose a data set follows the path of a polynomial with two turning points. Which type of polynomial function is most likely to best fit the data set?
answer
Cubic