a. Use the points (0, 46,200) and (5, 54,400) to determine a linear function, f, that approximates the average sales price of a new single-wide x years after 2014. f(x) = Type your answer here (Do not enter any commas or blank spaces in your answer.) %3D b. The slope of the linear function is m = Type your answer here and means that the average sales price of a new single-wide home in the United States is Type your answer here (increasing/decreasing) by $ Type your answer here each year after 2014. c. Use your linear model to predict the average sales price on a new single-wide manufactured home in the United States in 2025. The average sales price in 2025 is $ Type your answer here

U.S. Population Over Age 16 The table gives theprojections of the population, in millions, of U.S.residents over age 16 for selected years 2015 to 2060.a. Graph the data, with y equal to the population inmillions and x equal to the number of years after2010.b. Find a linear function that models the data, with yequal to the population in millions and x equal to thenumber of years after 2010.c. Graph the model and the data on the same axesand comment on the fit of the model to the data.d. What does the model predict that the populationwill be in 2042?e. In what year does the model predict that the population will be 336.827 million?

Assume a cars depreciation value can be modeled by a linear function where y represents the cars value after t years. If the car was worth $1200 after 2 years and worth $300 after 5 years:  a. How much did the car depreciate each year? b. How much was the car worth when it first debuted? c. Write an equation that models the cars value as a function of time d. When will the car have no value?

The manager of a band gets paid $8000 a show, plus 5% commission on the ticket sales of x dollars. Write a linear function that represents the manager’s total pay, P (in dollars), as function of x. Part A: P(x)=  Part B: What value of x will result in the manager earning $16000 for a single show? ROUND TO THE NEAREST INTEGER