We appreciate your visit to Alice purchased a car for 24 000 The value of the car depreciates at a rate of 5 5 each year Which function equation represents. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The function equation that represents the value of the car after t years is f(t) = 24,000(0.945)^t, corresponding to option D.
Explanation:
The function equation that represents the value of the car after t years i which corresponds to option D.
To find this equation, we start with the initial value of $24,000 and multiply it by the depreciation rate of 0.945 (100% - 5.5%) raised to the power of t, the number of years. This reflects the decreasing value of the car over time.
For example, if we plug in t = 1 into the equation, we get f(1) = 24,000(0.945)^1 = $22,680. This means that after 1 year, the value of the car will be $22,680.
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Final answer:
The correct function equation that represents the value of the car after t years is f(t) = 24,000(0.945)t.
Explanation:
The correct function equation that represents the value of the car after t years is:
f(t) = 24,000(0.945)t
Explanation:
Since the car depreciates at a rate of 5.5% each year, the value of the car after one year will be 100% - 5.5% = 94.5% of the original value. This can be represented by the equation f(t) = 24,000(0.945)t, where t is the number of years. The value of 0.945 is obtained by subtracting 5.5% from 100%, which is mathematically represented as 1 - 0.055 = 0.945.
