## Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning

# Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises: 12

#### Answer

a) The slope represents the rate of average surface temperature increase of the Earth. The T-intercept represents the average surface temperature of the Earth in 1900. b) 12.5$^{\circ}$C

#### Work Step by Step

a) The slope measures $\frac{\Delta T}{\Delta t}$, the change in temperature over time or the rate of temperature change. The T-intercept represents the temperature when $t=0$, defined as the temperature 0 years since 1900. b) at $t=2100-1900=200, T=0.02\times200+8.50=12.5^{\circ}$C

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