5752 Core Academic Skills for Educators — Praxis Core Math 5733 Exam 2065
Answer: B
The predicted grocery store sales in the United States in 2023 are 324.3 billion dollars more than in 2000.
To determine the increase in grocery store sales from 2000 to 2023, we substitute x = 23 into the trend line equation y = 14.1x + 369.9. This calculation reveals that the predicted sales in 2023 are 324.3 billion dollars higher than in 2000.
A) 282
Option A is incorrect. If we calculate the predicted grocery store sales for 2023 and for 2000, the difference does not align with this value. Specifically, the calculations show a higher increase, confirming that 282 billion dollars is not the correct difference.
B) 324.3
Option B is correct. By substituting x = 23 into the equation y = 14.1x + 369.9, we find that the predicted sales for 2023 amount to 694.2 billion dollars, while the sales for 2000 are 369.9 billion dollars. The difference is indeed 324.3 billion dollars, making this option the accurate answer.
C) 356.4
Option C is incorrect. The predicted increase from 2000 to 2023 does not equate to 356.4 billion dollars when applying the trend line equation. The calculations indicate a significantly lower increase than this figure.
D) 484.8
Option D is incorrect as well. The difference in predicted grocery store sales does not reach 484.8 billion dollars according to the trend line equation. When performing the calculations, the resulting increase is far less than this value.
E) 694.2
Option E is incorrect. While this figure represents the predicted grocery store sales for the year 2023, it does not reflect the increase compared to the sales in 2000. The correct difference has already been established as 324.3 billion dollars.
Conclusion
The calculation based on the trend line equation clearly indicates that the increase in grocery store sales from 2000 to 2023 is accurately represented by option B, 324.3 billion dollars. All other options fail to correspond to the correct calculations derived from the given trend line, reinforcing that option B is definitively the right choice.