Question

In 2005 a caribbean nation produced 0.7 million tons of cane sugar. Annual production was production was projected to decrease by 0.05 million tons each year for the next 5 years.
write a linear function that models this situation.

Answer 1

Answer:

Given : In 2005, a Caribbean nation produced 0.7 million tons of cane sugar. annual production was projected to decrease by 0.05 million tons each year for the next five years.

i.e.Amount (in millions of tons) of sugar cane produced in year = 0.7- 0.05 *( Each next year)

Let 2005 be the initial year , then after 2005 each year will be t.

Now , the Amount (in millions of tons) of sugar cane produced in year = 0.7- 0.05 *( t)

Let y(t) be the amount (in millions of tons) of sugar cane produced in year , then  a linear function that models this situation will be :

y(t) = 0.7 - 0.05(t) , where t is the number of years after 2005.

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