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Paul [167]
3 years ago
6

A police department believes that the number of serious crimes which occur each month can be estimated by the equation c=1200-12

.5p where c equals number of serious crimes per month and p equals the number of officers assigned to preventive patrol.If c if graphed on the vertical axis a)Identify the slope and interpret its meaning b(Identify the c intercept and interpret its meaning c)Identify the p intercept and interpret its meaning
Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0

Answer:

a) -12.5; the crimes committed goes down by 12.5 every time there are more police officers assigned to patrol.

b) 1200. The number of crimes committed if no police officers were on patrol.

c) 96. The hypothetical number of police officers on duty if no crime were to ever occur.

Step-by-step explanation:

The intercepts are found by substituting 0 for the other variable in the equation.

For example, if you wanted to find the C intercept, all you have to do is make P = 0, so you would end up with C = 1200 - (12.5 * 0), which simplifies down to 1200.

You would apply the same strategy to find the P intercept.

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<h3><u>Solution:</u></h3>

Given that it takes 12 hours for 7 men to paint a room

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The one men is rate is 84 hours to do the job

We can express this as 1/84 jobs per hour, the one-person rate

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Let the required number of men for 3 hours be "a"

The rates of each person is simply additive.

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