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?

3 answers

To interpret the slope of \(-0.5\) in the context of the graph you're referring to, we can summarize it as follows:

The slope of \(-0.5\) indicates that for each year that passes, the percent of freshmen who plan to major in Business decreases by \(0.5%\).

So, to answer Part (c) specifically:

The decrease in the percent of freshmen per year who planned to major in Business is \(0.5%\).

This means on a yearly basis, fewer freshmen are choosing to major in Business by this percentage amount.

WHAT PERCENT

To provide a specific percentage, I would need to know the initial percentage of freshmen who planned to major in Business at the starting point of the period represented in the graph.

However, given that the slope is \(-0.5\), it indicates that each year, the percentage decreases by \(0.5%\) regardless of the initial percentage.

For example:

  • If the percentage of freshmen planning to major in Business was \(10%\) at the start of the period, after one year it would be \(9.5%\), after two years it would be \(9%\), and so on.
  • If the initial percentage was \(20%\), after one year it would be \(19.5%\), and so forth.

If you have a specific initial percentage or data point from the graph, please share it, and I can help you determine the percentage at various points in time.