16. The mathematics department sponsors Math Family Fun Night every year. In the first year, there were \( 35 \) participants. In the third year there were \( 57 \) participants. a) write an equation that can be used to predict the amount of participants, \( y \) , for any given year, \( x \) . b) predict the number of participants in the 5th year.
A linear function that models data is described below. Find the slope of the model. Then describe what this means in terms of the rate of change of the dependent variable per unit change in the independent variable. The linear function \( f ( x ) = - 0.41 x + 28.6 \) models the percentage of adults in a country who smoked cigarettes, \( f ( x ) \) , \( x \) years after \( 1997 \) .
The slope is \( \square \) . (Type an integer or a decimal.)