Question

Use the table to answer the question.

x: 0, 1, 2, 3

f(x): 46,000.00, 39,100.00, 33,235.00, _________

Sydney bought a new car for $46,000.00. If the car depreciates in value by 15% each year, the situation can be modeled by the equation f (x) = 46,000(0.85)^x.
Complete the table to find the value of the car to the nearest cent after three years and write in the same form as the values in the table.

___________

Answer 1

f(3) = 46,000(0.85)^3 = 46,000(0.614125) = 28,249.75

So the table entry is 28,249.75.