Question: Use this information to answer Questions 1 - 5 below.The population of North Dakota was 642.2 thousand on July 1, 2000 and 636.7 thousand on

Use this information to answer Questions 1 - 5 below.The population of North Dakota was 642.2 thousand on July 1, 2000 and 636.7 thousand on July 1, 2003. Find an exponential model P=P(t) for the population of North Dakota, in thousands, as a function of the number of years after July 1, 2000.

Question 1 options: Find the annual rate of growth for North Dakota's population (as a percent, rounded to three decimal places). %

Question 2 options: Find the 5 year growth rate for North Dakota's population (as a percent, rounded to three decimal places). %

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The model predicts that North Dakota's population will:

Question 3 options:

a)

increase at an increasing rate

b)

decrease at an increasing rate

c)

increase at a decreasing rate

d)

decrease at a decreasing rate

e)

increase at a constant rate

f)

decrease at a constant rate

Question 4 options: Find the average rate of change on the following intervals, rounding each answer to three decimal places: P/t on [0, 2] = thousand/year, P/t on [2, 4] = thousand/year, P/t on [4, 6] = thousand/year, P/t on [6, 8] = thousand/year, and P/t on [8, 10] = thousand/year.

On the model's domain, the average rate of changeP/t is:

Question 5 options:

a)

increasing

b)

decreasing

c)

constant

Question 6 options: Predict North Dakota's population on July 1, 2005. thousand

Information

Use this information to answer Questions 7 - 8 below. Radon-222 has a half-life of 3.8235 days.

Question 7 options: If a sample of radon-222 weighs 100 grams, how much remains after 48 hours? grams

Question 8 options: Find the daily growth rate for radon-222 (as a percent, rounded to two decimal places). %

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