1)What type of polynomial function would be the best model for the set of data?
A)quartic
B)fifth-power
C)cubic
2)What type of polynomial function would be the best model for the set of data?
A)quartic
B)fifth-power
C)cubic
D)quadratic
3)The United States Census Bureau has projected the median age of the US population to the year 2080. A fast-food chain wants to target its marketing toward customers that are about the median age. Which of the following can be the model that relates the median age as a function of the number of years since 1900?
A) f(x) = 8.79x2 + 3.35x + 27.43
B) f(x) = -0.02x4 - 7.79x3 + 2.25x2 + 20x -10
C) f(x) = -0.02x3 + 8.79x2 + 3.35x + 27.43
D) f(x) = 0.126x + 22.732
4) The United States Census Bureau has projected the median age of the US population to the year 2080. A fast-food chain wants to target its marketing toward customers that are about the median age. Use a model to predict what age the fast-food chain should target in the year 2010.
A)38
B)37
C)35.1
D)36
5)
Use a graphing calculator to write a polynomial function to model the data.
A)f(x) = 29x2 + 7.93x + 0.244
B)f(x) = 0.0008x4 - 0.044x3 + 0.893x2 - 5.114x + 20.75
C)f(x) = -0.0031x4 + 0.127x3 - 1.55x2 + 7.93x + 0.244
D)f(x) = -0.0031x3 + 0.127x2 + 0.244x + 7.93
6)Use a model to predict what year 89% of the population will be living in metropolitan areas.
A)2014
B)2011
C)2040
D) 2022
+23254 Questions 1 and 2 seem to be the same question. Using the method of successive subtractions, you can show that it can't be linear, quadratic, nor cubic. However, because of the missing value for x = 6, I can't take it past that. Perhaps someone else can.
Question 3: Place the data for year into L1 and the data for median age into L2, and check LinReg, QuadREg, CubicReg, and QuartReg, until you get one of the answers listed. (None are perfectly close, just match the possible answer to what your calculator gave you.
Question 4: Use your answer of Question 3 to solve this question.
Question 5 is like Question 3.
Question 6: Place the data for year into L1 and the data for percentage into L2, and check LinReg, QuadREg, CubicReg, and QuartReg, until you get the highest R-value. Choose that for the formula you will use to get the answer.
+23254 Questions 1 and 2 seem to be the same question. Using the method of successive subtractions, you can show that it can't be linear, quadratic, nor cubic. However, because of the missing value for x = 6, I can't take it past that. Perhaps someone else can.
Question 3: Place the data for year into L1 and the data for median age into L2, and check LinReg, QuadREg, CubicReg, and QuartReg, until you get one of the answers listed. (None are perfectly close, just match the possible answer to what your calculator gave you.
Question 4: Use your answer of Question 3 to solve this question.
Question 5 is like Question 3.
Question 6: Place the data for year into L1 and the data for percentage into L2, and check LinReg, QuadREg, CubicReg, and QuartReg, until you get the highest R-value. Choose that for the formula you will use to get the answer.
