Some scientists believe that the average surface temperature of the world has been rising steadily. They have modeled the temperature by the linear function T = 0.02t + 8.25, where T is temperature in °C and t represents years since 1900.(a) What do the slope and T-intercept represent?The slope is , which means that the average surface temperature of the planet is at a rate of °C per year. The T-intercept is , which presents the average surface temperature in the year .(b) Use the equation to predict the average global surface temperature in 2040. °C
Question
Some scientists believe that the average surface temperature of the world has been rising steadily. They have modeled the temperature by the linear function T = 0.02t + 8.25, where T is temperature in °C and t represents years since 1900.(a) What do the slope and T-intercept represent?The slope is , which means that the average surface temperature of the planet is at a rate of °C per year. The T-intercept is , which presents the average surface temperature in the year .(b) Use the equation to predict the average global surface temperature in 2040. °C
Solution
(a) The slope is 0.02, which means that the average surface temperature of the planet is increasing at a rate of 0.02 °C per year. The T-intercept is 8.25, which represents the average surface temperature in the year 1900.
(b) To predict the average global surface temperature in 2040, we substitute t = 2040 - 1900 = 140 into the equation:
T = 0.02 * 140 + 8.25 = 10.85 °C
So, the model predicts that the average global surface temperature in 2040 will be 10.85 °C.
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