# In 1998 the enrollment at a community college was approximately 2500 students. In 2002 the enrollment had increased to 3250 students. If the enrollment continues to increase at this rate, what is a reasonable projection of enrollment for 2010?

Projected 2010 enrolment:

Since the 1998 enrollment was 2500 and the 2002 enrollment was 3250 (and there are 4 years from 1998 to 2002)

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To find the reasonable projection of enrollment for 2010, we can use a linear interpolation method based on the given data points.

First, let's determine the change in enrollment from 1998 to 2002:

Change = 3250 students (2002) - 2500 students (1998) = 750 students

Next, let's calculate the annual increase in enrollment:

Annual increase = Change in enrollment / Number of years = 750 students / 4 years = 187.5 students/year

Now, let's project the enrollment for 2010:

Number of years from 2002 to 2010 = 2010 - 2002 = 8 years

Projected enrollment for 2010 = Enrollment in 2002 + (Annual increase × Number of years) = 3250 students + (187.5 students/year × 8 years) = 3250 students + 1500 students = 4750 students

Therefore, a reasonable projection of enrollment for 2010 is approximately 4750 students.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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