Alex bought a new truck for $42,000. The truck will depreciate by $3,900 per year. Write a linear equation that represents this situation using C to represent the cost of the truck, and t to represent the number of years.


The situation described can be modeled by a linear equation where the cost of the truck $ C $ decreases over time $ t $. The truck's initial cost is $42,000, and it depreciates by $3,900 per year. 

We can write the linear equation as:

\[
C = 42000 - 3900t
\]

Where:
- $ C $ is the cost of the truck after $ t $ years.
- $ t $ is the number of years that have passed since Alex bought the truck.
- $ 42,000 $ is the initial cost.
- $ 3,900 $ is the depreciation per year.

Would you like more details on how this equation models depreciation?

Here are 5 follow-up questions:
1. How much will the truck be worth after 5 years?
2. How long will it take for the truck to be worth half its original value?
3. If the depreciation rate changes, how would the equation be adjusted?
4. Can you determine when the truck’s value will reach zero?
5. How does the slope of this equation relate to the rate of depreciation?

**Tip:** In linear equations, the slope represents the rate of change (in this case, depreciation per year).

Alex bought a new truck for $42,000. The truck will depreciate by $3,900 per year. Write a linear equation that represents this situation using C to represent the cost of the truck, and t to represent the number of years.

Learn how to write a linear equation for the depreciation of a truck originally priced at $42,000, which depreciates at a rate of $3,900 per year. This problem explains key algebraic concepts, including slope-intercept form and depreciation modeling, ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation