The value of a car t years after it is purchased is given by the decreasing function V, where V (t) is measured in dollars. The rate of change of the car's value in dollars per year is proportional to the car's value. Which of the following differential equations could be used to model the value of the car, where k is a constant?

Question

Mathematics

Bridget Chaney

15 December, 04:13

The value of a car t years after it is purchased is given by the decreasing function V, where V (t) is measured in dollars. The rate of change of the car's value in dollars per year is proportional to the car's value. Which of the following differential equations could be used to model the value of the car, where k is a constant?

+3

Answers (1)

Know the Answer?

Ethan Faulkner · Answer 1

dV (t) / dt = kV (t)

Step-by-step explanation:

Since the rate of change of the car's value in dollars per year dV (t) / dt is proportional to the car's value V (t), ten

dV (t) / dt ∝ V (t)

dV (t) / dt = kV (t)