3. Write an equation relating the value of the car in dollars, $$ v $$, to the number of years, $$ t $$.

Question

UpStudy AI · Accepted Answer

To write an equation relating the value of a car in dollars, $$ v $$, to the number of years, $$ t $$, we typically use a depreciation model. A common model for car depreciation is the exponential decay model, which can be expressed as:

$$
v = v_0 \cdot e^{-kt}
$$

Where:
- $$ v_0 $$ is the initial value of the car (the value when $$ t = 0 $$).
- $$ k $$ is the depreciation rate (a positive constant).
- $$ t $$ is the time in years.
- $$ e $$ is the base of the natural logarithm.

Alternatively, if we assume a linear depreciation model, the equation can be expressed as:

$$
v = v_0 - d \cdot t
$$

Where:
- $$ d $$ is the amount the car depreciates each year.

To finalize the equation, we need specific values for $$ v_0 $$ and either $$ k $$ or $$ d $$. If you have those values, please provide them, and I can help you formulate the exact equation.
To relate the car's value $$ v $$ to the number of years $$ t $$, you can use the exponential decay model: $$ v = v_0 \cdot e^{-kt} $$ Where: - $$ v_0 $$ is the initial value. - $$ k $$ is the depreciation rate. - $$ t $$ is the time in years. If you have specific values for $$ v_0 $$ and $$ k $$, plug them in to get the exact equation.

Write an equation relating the value of the car in dollars, , to the number of years, .

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Algebra Questions