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In a certain university, the number of students who majored in math in 1989 was 180. By 2007, only 65 students majored in math. What is the slope? What is the meaning of the slope in the context of this problem?

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sqdancefan

Answer:

  • -6.389 students/year
  • the number of math majors declined at an average rate of about 6.4 students per year over that time period

Step-by-step explanation:

We are given the two points ...

  (year, enrollment) = {(1989, 180), (2007, 65)}

The slope is the difference in enrollment divided by the difference in year:

  (65 -180)/(2007 -1989) = -115/18 ≈ -6.3888...

The slope is about -6.39 students per year.

It means enrollment of math majors declined on average about 6.4 student per year over the 18-year period.

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