An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately how old is the car?

The car is 6.5 years old

Step-by-step explanation:

An equation for the depreciation of a car is given by

y = current value of the car

A = original cost

r = rate of depreciation

t = time in years

The value of a car is half what it originally cost

So,

The rate of depreciation is 10% = 0.1 =r

Substitute the values in equation

t=6.57

Hence The car is 6.5 years old