Utah, the land of milk and honey where math students have courage and freedom rings true, is one of the fastest growing states in America. The state population was 2.942 million people in the year 2014, and 3.167 million people in the year 2018. For the prompts below, you may approximate this as an exponential function with a constant growth rate. What is the annual percentage growth rate between 2014 and 2018, rounded to two decimals? Growth Rate = % At the current growth rate, what is the expected state population in the year 2037, rounded to two decimals? Expected Population of Utah in 2037 = million people At the current growth rate, in what year is the population expected to reach 4.2 million people? Assume that the population figures above are measured at the beginning of each year. Your answer should be a whole number. Utah expects to reach 4.2 million people in the year:
Utah, the land of milk and honey where math students have courage and freedom rings true, is one of the fastest growing states in America. The state population was 2.942 million people in the year 2014, and 3.167 million people in the year 2018. For the prompts below, you may approximate this as an exponential function with a constant growth rate. What is the annual percentage growth rate between 2014 and 2018, rounded to two decimals? Growth Rate = % At the current growth rate, what is the expected state population in the year 2037, rounded to two decimals? Expected Population of Utah in 2037 = million people At the current growth rate, in what year is the population expected to reach 4.2 million people? Assume that the population figures above are measured at the beginning of each year. Your answer should be a whole number. Utah expects to reach 4.2 million people in the year:
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 41E
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Transcribed Image Text:Utah, the land of milk and honey where math students have courage and freedom rings true, is one of the
fastest growing states in America. The state population was 2.942 million people in the year 2014, and
3.167 million people in the year 2018. For the prompts below, you may approximate this as an exponential
function with a constant growth rate.
What is the annual percentage growth rate between 2014 and 2018, rounded to two decimals?
Growth Rate =
%
At the current growth rate, what is the expected state population in the year 2037, rounded to two
decimals?
Expected Population of Utah in 2037
million people
=
At the current growth rate, in what year is the population expected to reach 4.2 million people? Assume
that the population figures above are measured at the beginning of each year. Your answer should be a
whole number.
Utah expects to reach 4.2 million people in the year:
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