Sociologists have found that crime rates are influenced by temperature. In a town of 200,000 people, the crime rate has been approximated as C = 1 / 10 ( T - 65 ) 2 + 100, where C is the number of crimes per month and T is the average monthly temperature in degrees Fahrenheit. The average temperature for May was 74° and by the end of May thetemperature was rising at the rate of 9° per month. How fast is the crime rate rising at the end of May? By how many crimes per month is the crime rate rising at the end of May?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter4: Linear Functions
Section4.2: Modeling With Linear Functions
Problem 25SE: For the following exercises, consider this scenario: The number of people afflicted with the common...
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Sociologists have found that crime rates are influenced by temperature. In a town of 200,000 people, the crime rate has been approximated as C = 1 / 10 ( T - 65 ) 2 + 100, where C is the number of crimes per month and T is the average monthly temperature in degrees Fahrenheit. The average temperature for May was 74° and by the end of May thetemperature was rising at the rate of 9° per month. How fast is the crime rate rising at the end of May?

By how many crimes per month is the crime rate rising at the end of May? 

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