The equation V (t) = 50000 (0.92) models the value of a car after "t" years. To the nearest whole number, when will the car be worth HALF of its initial value? The car will be worth half of its initial value in approximately type your answer.. years. Next Previous ace

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Equation for Car Depreciation**

The equation \( V(t) = 50000 \times (0.92)^t \) models the value of a car after "t" years. To the nearest whole number, determine when the car will be worth half of its initial value.

**Interactive Question:**

The car will be worth half of its initial value in approximately [____] years.

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### Explanation

This equation represents exponential decay, indicating how the value of the car decreases by 8% annually (due to the factor 0.92). You're tasked with calculating the time it takes for the car's value to depreciate to half of its original value of $50,000.
Transcribed Image Text:**Equation for Car Depreciation** The equation \( V(t) = 50000 \times (0.92)^t \) models the value of a car after "t" years. To the nearest whole number, determine when the car will be worth half of its initial value. **Interactive Question:** The car will be worth half of its initial value in approximately [____] years. **Navigation:** - Previous - Next ### Explanation This equation represents exponential decay, indicating how the value of the car decreases by 8% annually (due to the factor 0.92). You're tasked with calculating the time it takes for the car's value to depreciate to half of its original value of $50,000.
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