Problema Solution

The number of violent crimes reported in the U.S. in 1995 was 1,798,790, and decreased to 1,682,280 in 1996. Assume that the function that relates the number of violent crimes as the dependent variable, with the year that the number of crimes occurred as the independent variable, is linear.

Answer provided by our tutors

The number of crimes decreased by 116510 in one year.

Under the assumption, we can write the number of crimes as a function of the number of years, n, after 1995, (so for year 1995 n=0):

y=1798790-116510n

 

The slope is -116510, which is negative, showing the function is decreasing.

The y-intercept is 1798790 shows the number of crimes for n=0, on 1995.