Question
The given equations are two different models that can be used to find the value, in dollars, of a particular car t years after it was purchased. Which of the following statements correctly compares the values of E and V for 0 < t < 9 ?
- E is always less than V.
- E is always greater than V.
- E is initially greater than V but eventually becomes less than V.
- E is initially less than V but eventually becomes greater than V.
The correct answer is: E is initially greater than V but eventually becomes less than V.
HINT: Draw graph for better understanding
Explanation:
The decrement rate of E is constant but the rate of decrement decreases for the V.
After some limit the decrement in E would be greater than V
Graphs x axis shows the 1000 dollars cost and y axis shows the time in years
Green graph represents y = 18(0.85)x and line AC shows y = 18-2x
Related Questions to study
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The weights, in pounds, for 15 horses in a stable were reported, and the mean, median, range, and standard deviation for the data were found. The horse with the lowest reported weight was found to actually weigh 10 pounds less than its reported weight. What value remains unchanged if the four values are reported using the corrected weight?
The standard deviation is the degree of scatter or dispersion of the data points to their mean in descriptive statistics.
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