Question

The value V of a Dodge Stratus that is t years old can be modeled by V(t) = 19,282(0.84)t.
• (a) According to the model, when will the car be worth $15,000?
• (b) According to the model, when will the car be worth $8000?
• (c) According to the model, when will the car be worth $2000?
@Calculus1

Answer 1

ii am going to assume that this is
\[19282(.084)^t\] right?

Answer 2

then solve
\[15,000=19282(.84)^t\]
\[\frac{1500}{19284}=(.84)^t\]
\[t=\frac{\ln(\frac{1500}{19284})}{\ln(.84)}\]
then a calculator.
use this as a template to solve the others

Answer 3

Yes! It is to the exponent t

ok so I came up with:
(a) t= 1.44030363 yrs
(b) t= 5.04567465 yrs
(c) t= 12.9967352 yrs

Is this correct?!

Answer 4

thank you!!