Question

Solve the two step problem (problem A & B) down below

Answer 1

Given: An exponential function predicting the increase in temperature as-

`f(x)=(1.045*10^(-38))(1.0444^x)`

where x represents the year.

Required: To determine the increase in temperature in the year 2011.

Explanation: Since x represents the year and f(x) represents the increase in temperature.

Thus to determine the increase in temperature in the year 2011, we need to determine the value of f(2011) as follows-

`f(2011)=(1.045*10^(-38))(1.0444^(2011))`

Further simplifying-

`\begin{gathered} f(2011)=(1.045*10^(-38))*(8.7349*10^(37)) \\ =0.9128 \end{gathered}`

Final Answer: The predicted increase in temperature in 2011 is about 0.9 degrees Celcius.