linear function f(x) =-0.28x + 1.7 models the percentage of U.S. taxpayers who were audited by the IRS, f(x), * years after 1996. (Source: IRS) 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. f(x)= 0.28

The linear function y=−0.4x+45 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.   How would I find the rate % per year after 2000?

Linear models can be used to predict buying habits of consumers. Suppose that a survey found that in 2008, 18% of the consumers surveyed in a group bought designer frames for their eyeglasses. In 2011, the percentage climbed to 24 % a. Assume the percentage of people buying frames is a linear function of time, and find an equation for the percentage of people buying designer frames. Let t correspond to the number of years since 2008 P(t) b. Use your equation to predict the percentage of people buying designer frames in 2014 The model predicts the percentage of people buying designer frames in 2014 will be | c. Use your equation to predict when the percentage of people who buy designer frames will reach 50 % The model predicts in the year 1, 50% of people will buy designer frames d. Do you think you can use this model to predict the percentage of people buying designer frames in the year 2051? Why or why not?

3 days after picking apples, a family had 100 apples left. After 6 days, 76 apples were left. Assuming a linear function, write an equation in the form a(t) = mt + b that shows the number of apples, a(t), left t days after picking them. Be sure to Include "a(t) =" in your answer.

Can I get help please?

The linear function f(x) = 48.8x + 63.8 models the number of smartphones sold in some country, f(x), in millions, x years after 2006. 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 slope of the model is . (Type an integer or a decimal.)

Does the function y = x3 ever have a negative slope? If so, where? Justify your answer.

The average price of a home in a certain town was $125,000 in 2009, but home prices are rising 2% per year. Write an equation that models this situation with t being the number of years since 2009.   If this rate of growth continues, what will the averge price of a home in that town be in 2020?

Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.