The linear depreciation method assumes that an itemdepreciates the same amount each year. Suppose a newpiece of machinery costs $32,500, and it depreciates$1950 each year for t years.(a) Set up a linear function that yields the value of themachinery after t years.(b) Find the value of the machinery after 5 years.(c) Find the value of the machinery after 8 years.(d) Graph the function from part (a).(e) Use the graph from part (d) to approximate howmany years it takes for the value of the machineryto become zero.(f) Use the function to determine how long it takes forthe value of the machinery to become zero

Each month, a salesman earns a base salary of $621.00 plus 5% commission on sales. Use C for total monthlycompensation and S for total monthly sales, both in dollars.A: Find a formula that gives total compensation as a linear function of total monthly sales.B: What monthly sales lead to a total monthly compensation of $3850?C: How is total monthly compensation affected if sales are increased by $5156.00?

A car initially sold for $23,999. Its class life is 12 years, and the car depreciates by $750 each year. Express this as a linear function. Find the salvage value. Then, find the value after six years.

Construct a piecewise tax function where the tax is 5 % on the first  $15,000 of income, then 12 % on any income over $15,000.

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?

In 2011 online sales were $192 billion, and in 2015 they were $264 billion. (a) Find a linear function S that models these data, where S is the sales in billions of dollars and x is the year. Write S(x) in slope-intercept form. (b) Interpret the slope of the graph of S. (c) Determine when online sales were $246 billion. ..... (a) Write S(x) in slope-intercept form. S(x) = %3D (b) Interpret the slope of the graph of S. Choose the correct answer below. O A. Sales decreased by $18 billion in next 4 years. B. Sales decreased, on average, by $18 billion/yr. C. Sales increased, on average, by $18 billion/yr. D. Sales increased by $18 billion in next 4 years. (c) Online sales were $246 billion in the year

2.  You bought a new computer for $2,500.  Four years later, your computer is valued at $1,250. a.  Assume that the cost function will be linear and write a linear function to describe the cost of the computer ?t years after you bought it. b.  Assume that the cost function will be exponential (think of exponential decay) and write an exponential function to describe the cost of the computer ?t years after you bought it. c.  For each function you just wrote, find the rate at which the cost is depreciating 3 years after you bought it. d.  Which function do you think would be more accurate?  Write a complete sentence or two describing why you think so.

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes), The remaining credit after 38 minutes of calls is 520.44, and the remaining credit after 69 minutes of calls is S16.72. What is the remaining credit after 77 minutes of calls? Remaining credit (in dollars) Calling time (In minutes)