Mathematics I20785 marksNumerical: linear temperature modelLinear mathematical model
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 = 0.03t + 8.50, where T is temperature in degree centigrade and t represents years since 1900. (a) What do the slope and T-interce
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 $T = 0.03t + 8.50$, where T is temperature in degree centigrade and t represents years since 1900. (a) What do the slope and T-intercept represent? (b) Use the equation to predict the average global surface temperature in 2100. [5]
Linear model: $$T = 0.03t + 8.50$$ - $T$ = temperature in degrees Celsius - $t$ = years since 1900 --- The equation has the form $T = mt + c$ with slope $m = 0.03$ and intercept $c = 8.50$. Slope ($m = 0.03$): Represents the rate of change of temperature with respect to time. It means the average...