Recent studies indicate that the average surface temperature of a planet has bee

Question

Recent studies indicate that the average surface temperature of a planet has been rising steadily. Some scientists have modeled the temperature by the linear function T = 0.02t + 8.4, where T is temperature in degree 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 degree C per year. The T-intercept is which presents the average surface temperature in the year (b) Use the equation to predict the planet's average surface temperature in 2020. degree C

Explanation / Answer

T = 0.02*t + 8.4

Comparing it with standard line equation

y = mx + C

where, m is slope and C is y-intercept, SO

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 8.4, which presents the average surface temperature in the year 1900.

B.

In year 2020,

t = 2020 - 1900 = 120

So,

T = 0.02*t + 8.4

T = 0.02*120 + 8.4 = 10.8 C

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