
Concept explainers
(a)
The significance of the slope and T- intercept in given equation.
(a)

Explanation of Solution
The average surface temperature equation is given,
T=0.02t+15.0 (1)
Where, T is temperature in ∘C and t is years since 1950.
The general equation of the line is,
y=mx+b
Substitute T for y, t for x in above general equation of the line, the equation becomes,
T=mt+b
Compare the above equation from equation (1), to find the value of m,
m=0.02
m, which is the slope of the equation (1) and which represents the rise of every year.
Thus, the value of m is 0.02 so, the slope represents an increase of 0.02∘C every year and T-intercept is the average surface temperature in 1950.
(b)
To find: The value of average global surface in 2050 by using equation (1).
(b)

Answer to Problem 66E
The value of average global surface in 2050 is 17.0∘C.
Explanation of Solution
Given:
The average surface temperature equation is,
T=0.02t+15.0
Where, T is temperature in ∘C and t is years since 1950.
Calculation:
Calculate the value of t, from 1950 to 2050 years,
t=2050−1950=100 years
Substitute 100 for t, in equation (1) to find the value of T,
T=0.02⋅100+15.0=2.0+15.0=17.0
The average global surface value will be in 2050 is 17.0∘C.
Chapter 1 Solutions
Precalculus - A Custom Text for UNLV
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