Problem 145 - College Algebra Essentials

Question

Determine whether each statement makes sense or does not make sense, and explain your reasoning. A model that describes the average cost of tuition and fees at private U.S. colleges for the school year ending \(x\) years after 2000 cannot be used to estimate the cost of private education for the school year ending in 2000 .

Step-by-Step Solution

Answer

The statement makes sense. A model, built based on data collected from years after 2000, should not be assumed to predict accurately tuition costs for the year 2000 or for a year preceding that, as its formulation takes into account trends and patterns identified post 2000.

Step 1: Understand the model's applicability

Firstly, consider the statement about the model. It describes the average cost of tuition and fees at private U.S. colleges for the school year ending \(x\) years after 2000. This implies the model was possibly formulated based on the tuition data gathered from years after 2000.

Step 2: Analyze the question

Now, analyze the presented scenario about trying to use the model to estimate the cost for the year 2000. Remember, the model is apparently constructed from data gathered from years after 2000.

Step 3: Make a conclusion

From the understanding gained from previous two steps, it can be noted that while the model is helpful for estimating the costs for years after 2000, it cannot be assumed to give an accurate estimate for tuition costs for the year 2000 itself (or any year prior to 2000 for that matter). This is because the model's formulation is based on trends and patterns identified from the years after 2000, and these trends might not have held true before 2000.