A sociologist has found that the number of serious crimes in a certain city each year is described by the function , where x (in cents/dollar deposited) is the level of reinvestment in the area in conventional mortgages by the city's ten largest banks.


Use differentials to estimate the change in the number of crimes if the level of reinvestment changes from 18/dollar deposited to 26/dollar deposited. Round to the nearest integer.


A. Decrease of 60 crimes/yr.
B. Decrease of 24 crimes/yr.
C. Decrease of 56 crimes/yr.
D. Decrease of 57 crimes/yr.


Answer: B

Mathematics

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