A bus was purchased for $80,000. Assuming the bus depreciates at a rate of $6,000 per year (straight-line depreciation) for the first 10 years, write the value v of the bus as a function of the time t (measured in years) for 0 ¡Ü t ¡Ü 10.
v(t)= ____
V(t) = 80,000 - 6000t
To find the value of the bus as a function of time, we can use the formula for straight-line depreciation:
v(t) = purchase price - depreciation per year * t
In this case, the purchase price is $80,000 and the depreciation per year is $6,000. Let's substitute these values into the formula:
v(t) = $80,000 - $6,000 * t
For 0 ≤ t ≤ 10, this equation gives us the value of the bus over time in years.