suppose that a community contains 15,000 people. at time time, t, the number n (t) of people who have a gene that causes a triangle on their forehead is 5,000 and is increasing at a rate of 500 per day.

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19-12-2022
Mathematics

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suppose that a community contains 15,000 people. at time time, t, the number n (t) of people who have a gene that causes a triangle on their forehead is 5,000 and is increasing at a rate of 500 per day.

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abhinavjh321 abhinavjh321 · Answer 1 · 2022-12-22T02:34:46-05:00

The community will contain 15,000 people with the gene that causes a triangle on their forehead after 20 days.

The rate of change of n (t) with respect to time is 500 people per day. This means that the equation for n (t) is given by:

n (t) = 5,000 + 500t

where t is the number of days since time t. At time t, n (t) = 5,000, and as time passes, the number of people with the gene that causes a triangle on their forehead increases. After 20 days, n (t) = 5,000 +500*20 = 15,000, meaning that after 20 days, the community will contain 15,000 people with the gene that causes a triangle on their forehead.

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