Harry started a school in the year 2000. The number of students was 500 in the beginning and is increasing at a rate of 13% each year. Use a graph to predict the number of students in the year 2020.

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Mathematics

Cheerio

1 April, 04:51

Harry started a school in the year 2000. The number of students was 500 in the beginning and is increasing at a rate of 13% each year. Use a graph to predict the number of students in the year 2020.

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Jacqueline · Answer 1

We will arbitrarily say that t=0 in the year 2000, and t=20 in the year 2020.

The formula predicting the number of students, as a function of time, is:

N (t) = 500 (1 + 0.13) ^t

This is an exponential function. Can you graph it? Hint: the y-intercept is (0,500).