Question

The linear function y = -0.5z +26 models the percentage of men in a certain city, y. smoking cigarettes a years after 1990. Find the slope

for the model. Then describe what this means in terms of the rate of change of male smokers in this city over time.
a) m =
b) The percentage of men in this city who smoke has (Enter: increased or decreased or not changed) at a rate of
after 1990.
% per year

Answer 1

Answer: hope this helps

a) m = -0.5

b) The percentage of men in this city who smoke has decreased at a rate of 0.5% per year after 1990.

The slope of the model, m, represents the rate of change of the dependent variable (y) with respect to the independent variable (z). In this case, the slope is -0.5 which means that for every one year increase in time (z) after 1990, the percentage of men smoking cigarettes (y) decreases by 0.5%. This means that the rate of change of male smokers in this city over time is decreasing.

Explanation: