Recent studies indicates that the average surface temperature of the earth has been rising rapidly. 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. What do the slope and T-intercept represent? Use the equation to predict the average global surface temperature in 2100

Solution:

Given Linear function is

T = 0.02t + 8.50

a) Comparing it with y = mx + c, we get

m = 0.02 and c = 8.50

So, the slope is 0.02 and T-intercept is 8.50

b) Since t = 0 represent years since 1900, then t = 2100 – 1900 = 200 represents 2100.

So, T = 0.02 (200) + 8.5

T = 12.5oc

Therefore, The average global surface temperature in 2100 is 12.5oc