Answer:
Explanation:
The formula you provided, V = 7500e^(-0.2t), represents the value of a motorbike in pounds (£) as a function of time (in years) since it was new. This is an exponential decay function. Here's how it works:
V represents the value of the motorbike in pounds.
t represents the age of the motorbike in years (time since it was new).
7500 is the initial value of the motorbike when it is brand new (t = 0). In this case, it's worth £7500 when it's new.
e is the base of the natural logarithm (approximately 2.71828).
-0.2 is the decay rate or the rate at which the motorbike's value decreases over time.
As time (t) increases, the value of the motorbike decreases exponentially because of the negative exponent (-0.2t). The larger the value of t, the smaller the value of V becomes. This is a common model for the depreciation of assets like vehicles.