Effect of budget cuts on drug-related crimes the graphs


Question: Effect of budget cuts on drug-related crimes the graphs below were used by a police commissioner to illustrate what effect a budget cut would have on crime in the city. The number n1(t) gives the projected number of drugrelated crimes in the next 12 mo. The number n2(t) gives the projected number of drug-related crimes in the same time frame if next year's budget is cut.

A. Explain why n'1(t) and n'2(t) are both positive on the interval (0, 12).

B. What are the signs of n"1(t) and n"2(t) on the interval (0, 12)?

C. Interpret the results of part (b).

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Mathematics: Effect of budget cuts on drug-related crimes the graphs
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