Exercise 1.2.14

Recent studies indicate that the average surface temperature of the earth has been rising steadily. Some scientists have modeled the temperature by the linear function T = 0.02 t + 8.50 , where T is the temperature in C and t represents years since 1900.

(a)
What do the slope and T -intercept represent?
(b)
Use the equation to predict the earth’s average surface temperature in 2100.

Answers

(a)
The slope of the function T , 0.02 represents the temperature change rate concerning the year. Every 1 year the value of T increases by 0.0 2 . The T -intercept represents temperature T in the year t = 1900 .
(b)
With t = 2100 , we have: T = 0.02 200 + 8.50 = 4 + 8.50 = 12 . 5 0 .

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2023-08-05 07:19
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