Question

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. Write a linear function that models this situation.

Answer 1

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

Step-by-step explanation:

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.

Answer 2

The linear function that models this situation is f(t) = 0.07 - 0.05(t)

Given:

Quantity of cane sugar produced = 0.7 million tons

Projected annual decrease in production = 0.05 million tons

Year of production = 2005

let

t = number of years after 2005

So,

f(t) = Quantity of cane sugar produced - Projected annual decrease(years after 2005)

f(t) = 0.07 - 0.05(t)

Therefore, the linear function that models this situation is f(t) = 0.07 - 0.05(t)

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