16 The value of a new car depreciates so that the rate of ch

16. The value of a new car depreciates so that the rate of change of the value V at time t is proportional to the value of the car at that time. Which of the following graphs illus- trates the value V of the car at time t? To1s 20om Trace Re3raph Math Draw Fen MA RAD APPROX FUNC (B)C RAD APPRO FUNC RAD APPROX FUNC

Solution

Since it is given that the value of the car depriciates with time, which implies that as time increases the value decreases,

From the graphs given it is clear that graph given in B) illustrates the value of the car at any time t.

Since we see that the graph decreases as times increases,

Graphs in C and E also decreases as time increaese but they are straight lines hence the rate of change will remain constant, but the rate is not constatnt