Question

The linear function y=−0.31 x + 33 models the percentage of men in a certain city, y, smoking cigarettes x years after 2000. 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_________( increased or decreased or not changed )

at a rate of._________ % per year after 2000.

Answer 1

The slope for the linear function y = -0.31x + 33 is -0.31. This means that the percentage of men smoking cigarettes in the city decreases by 0.31% for every one unit increase in the number of years after 2000.

Step-by-step explanation:

The slope for the linear function y = -0.31x + 33 is -0.31. This means that for every one unit increase in the number of years after 2000, the percentage of men smoking cigarettes in the city decreases by 0.31%.

In terms of the rate of change, this means that the percentage of men smoking cigarettes in the city has decreased at a rate of 0.31% per year after 2000.