Past and future carbon emissions in billions of metric tons during year x can be modeled by...

Question

C(x) = 1/225 times x² - 1331/75 times x + 443,034/25, where 1989 </ x </ 2019

a) Evaluate C(1989). Interpret your answer.

(Do not round until the final answer. Then round to two decimal places as needed)

b) Find the expected increase in carbon emissions from 1989 to 2019

(Type an integer or a decimal)

Answer 1

C(x) = (1/225) x² - (1331/75) x + 443,034/25

where C(x) is the amount of carbon emissions in year x and 1989 ≤ x ≤ 2019.

a) C(1989) is the value of C(x) when x = 1989. It represents the past carbon emissions in the year 1989. To compute the value, plug x = 1989 into the equation and compute the value C(x). You'll need a calculator to help.

b) C(2019) is the value of C(x) when x = 2019. Again, plug x = 2019 into the C(x) equation and compute the answer using a calculator. The expected increase between 1989 and 2019 is C(2019) - C(1989).