Question

Write a linear function that models each situation. a 24. The enrollment at a local community college was 5,000 in 1960. In the year 2000, the enrollment was 15,000. Assuming that the enrollment grows linearly since 1960, write a linear equation that represents the enrollment of the college x years after 1960.​

Answer 1

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Answer:

  y = 250x +5000

Step-by-step explanation:

The "initial" enrollment is 5000, when x=0 years after 1960.

The rate of change of enrollment is ...

  change of enrollment / change in time

  = (15000 -5000)/(2000 -1960)

  = 10000/40 = 250 . . . . students per year

Then the desired equation is ...

  y = 250x + 5000