Question

Use the scenario below to ansuer questions 9-11. Raymond purchased a new tractor for his wheat farm. He estimates that the tractor will depreciate in value by about 8.5% per year as shown in the table below. AGE OF TRACTOR IN YEARS X o 1 VALUE OF TRACTOR (U.S. DOLLARS) f(x) 165,000 151,000 138,140 126,400 115,660 105,830 9. 2 What will be the estimated value of the tractor when it is 6 years old? 6 3 4 5 200000 У 180000 10. The graph shows the function f(x) = 165000(0.915) where f(x) is the value of Raymond's tractor after x years. What does poini (10, 67873) represent in the situation? 160000 165,000(0.915) 140000 120000 100000 Value of Teactor (collars) 800001 (10.87873) 60000 11. Using the function equation and a graphing utility, in how many years will the tractor be worth less than $50,000? 40000 20000 0 0 -2 2 16. 12 14 after 13 years 8 10 Time (years) -20000

Answer 1

Given:

$f(x)=165000(0.915)^x$

Find-: what does point (10,67873) represent.

Sol:

$f(x)=165000(0.915)^x$

Where,

$\begin{gathered} f(x)=\text{ The value of random tractor } \\ \\ x=\text{ year} \end{gathered}$

At point.

$(10,67873)$

Point (10, 67873) represents after the 10-year value of the random tractor is 67873.

Check value for x = 10 year.

$\begin{gathered} f(x)=165000(0.915)^x \\ \\ f(10)=165000(0.915)^{10} \\ \\ f(10)=67873 \end{gathered}$