Question

The number n of incidents of family violence requiring police response appears to be related to d, the money spent on crisis intervention, by the equation = 430 -0.003d What expenditure would reduce the number of incidents to 384?

Answer 1

The expenditure that would reduce the number of incidents of family violence to 384 is $15,333.33.

Step-by-step explanation:

The question is asking for the expenditure that would reduce the number of incidents of family violence to 384. The equation given shows that the number of incidents is related to the money spent on crisis intervention through the equation 430 - 0.003d. To find the expenditure that would result in 384 incidents, we can substitute 384 for 'n' in the equation and solve for 'd'.

384 = 430 - 0.003d

Subtracting 384 from both sides gives us:

0 = 46 - 0.003d

0.003d = 46

d = 46 / 0.003

Solving this equation, we find that the expenditure that would reduce the number of incidents to 384 is $15,333.33.