Question
The slope of the line is negative 0.5.
(b) Interpret the slope.
The slope of the line is
negative.
This means that during the period represented, the percent of freshmen planning to major in Business
decreased.
Part 3
(c) Based on the graph, what was the decrease in the percent of freshmen per year who planned to major in Business?
50%.
(b) Interpret the slope.
The slope of the line is
negative.
This means that during the period represented, the percent of freshmen planning to major in Business
decreased.
Part 3
(c) Based on the graph, what was the decrease in the percent of freshmen per year who planned to major in Business?
50%.
Answers
GPT-4o mini
Let's break down the interpretation of the information given:
### (b) Interpretation of the Slope
The slope of -0.5 means that for every year, the percentage of freshmen planning to major in Business decreases by 0.5%. This negative slope indicates a declining trend over time.
### (c) Decrease in the Percent of Freshmen Planning to Major in Business
If the slope is -0.5 and you mention a decrease of 50%, we can calculate the number of years over which this decrease occurred.
Given that the total decrease is 50%, you can determine the number of years using the formula:
\[ \text{Number of Years} = \frac{\text{Total Decrease}}{\text{Decrease per Year}} \]
Substitute the values:
\[ \text{Number of Years} = \frac{50\%}{0.5\%} = 100 \text{ years} \]
This means that over a period of 100 years, the percent of freshmen planning to major in Business decreased by 50%, at a rate of 0.5% per year.
### Summary
- The slope of -0.5 indicates a decrease.
- The percent of freshmen majoring in Business decreased by 50% over 100 years, at a rate of 0.5% per year.
### (b) Interpretation of the Slope
The slope of -0.5 means that for every year, the percentage of freshmen planning to major in Business decreases by 0.5%. This negative slope indicates a declining trend over time.
### (c) Decrease in the Percent of Freshmen Planning to Major in Business
If the slope is -0.5 and you mention a decrease of 50%, we can calculate the number of years over which this decrease occurred.
Given that the total decrease is 50%, you can determine the number of years using the formula:
\[ \text{Number of Years} = \frac{\text{Total Decrease}}{\text{Decrease per Year}} \]
Substitute the values:
\[ \text{Number of Years} = \frac{50\%}{0.5\%} = 100 \text{ years} \]
This means that over a period of 100 years, the percent of freshmen planning to major in Business decreased by 50%, at a rate of 0.5% per year.
### Summary
- The slope of -0.5 indicates a decrease.
- The percent of freshmen majoring in Business decreased by 50% over 100 years, at a rate of 0.5% per year.