Question

Question 15

Leo bought a bulldozer for $63,103. The value of the bulldozer depreciated at a constant rate per year. The table below shows the value of the bulldozer after the first and second years:

Year
1
2
Value (in dollars)
58,054.76
53,410.38


Which function best represents the value of the bulldozer after t years?

f(t) = 58,054.76(0.92)t
f(t) = 63,103(0.08)t
f(t) = 63,103(0.92)t
f(t) = 58,054.76(0.08)t

Answer 1

c f(t) = 63,103(0.92)t

Explanation:

Answer 2

The function is
f(1) = 63,103(0.92)^1
F (1)=58054.76
Solve for r (rate of depreciation)
58054.76=63103 (r)^1
Divide both sides by 63103
R=58,054.76÷63,103
R=0.92 rate of depreciation

So the function best represents the value of the bulldozer after t years is
f(t) = 63,103(0.92)t

Hope it helps!