Problem

Crime The rate (number per 100,000 people) of arrests for violent crimes is given byf(x) =...

Crime The rate (number per 100,000 people) of arrests for violent crimes is given by

f(x) = −0.711x2 + 14.244x + 581.178

where x is the number of years after 1980.

a. Use technology to graph this model on the viewing window [0, 30] by [0, 800].


b. This viewing window shows the graph for what time period?


c. Did the number of arrests per 100,000 people increase or decrease after 1990?


d. Use the model to find the number of arrests per 100,000 in 1994 and in 2009. Did the number increase or decrease over this period?


e. Is your answer to part (c) consistent with the answer to part (d)?

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