A bus was purchased for $70,000, 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 < t < 10

Question

A bus was purchased for $70,000, 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 < t < 10

Answer 1

v = -6000t + 70000

Answer 2

To write the value of the bus as a function of time, we need to consider the initial value of the bus and the rate at which it depreciates per year. Given that the bus was purchased for $70,000 and depreciates at a rate of $6,000 per year, the function v(t) can be expressed as:

v(t) = Initial value - Depreciation per year * Time

The initial value of the bus is $70,000, and since it depreciates at a rate of $6,000 per year, we can substitute these values into the equation:

v(t) = $70,000 - $6,000 * t

For the given range of time, 0 < t < 10, the value of the bus can be determined for any particular year within this range by substituting the value of t into the equation.