The attitudes toward legalization of a certain drug changed

The attitudes toward legalization of a certain drug changed between 1995 and 2012. The formula A(X)=-1.3x+3250 gives the percentage of people in year x who were against legalization, and the formula F(x)=1.2x-1770 gives the percentage of people in year n who were in favor of legalization. Interpret the slope of the graphs of A and F. Estimate the year when the percentage for and against were equal. Interpret the slope of the graph of A. Choose the correct answer below. The percentage against was decreasing by 3250 people per year. The percentage against was decreasing at 1.3% per year. The percentage against was increasing at 1.3% per year. The percentage against was increasing by 3250 people per year. Interpret the slope of the graph of F. choose the correct answer below. The percentage for was increasing by 1770 people per year. The percentage for was decreasing by 1770 people per year. The percentage for was increasing at 1.2% per year. The percentage for was decreasing at1.2% per year. The year when the percentages for and against were equal was about (Round to the nearest year as needed)

Solution

A(x) = -1.3x +3250 ( persons against the drug)

F(x) = 1.2x -1770 ( persons in favour of drug)

a) A(x) = -1.3x +3250

slope of -1.3 means that the percentage of people who were against the legalization of drug was falling by 1.3 %

with each year

So, option :B

F(x) = 1.2x -1770

slope pf 1.2 means percentage of people in favour of drug was increasing by 1.2% with each year

Option C

b) Percentage favour = percentage against

1.2x -1770 = -1.3x +3250

2.5x = 5020

x = 2008