The slope and T -intercept.

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1.2, Problem 10E

(a)

To determine

To explain: The slope and T-intercept.

Expert Solution

Slope represents the rate of change of temperature in the surface area of the earth.

T-intercept represents the surface temperature of the earth during 1900.

Explanation of Solution

Given:

The surface temperature of the earth is a linear function, T=0.02t+8.50 , where T is temperature in C and t represents years.

Observation:

In the linear function T=0.02t+8.50 , the slope is 0.02 and the T-intercept is 8.50.

The slope 0.02 represents the increase in the average surface temperature of the earth with a rate of 0.02°C per year.

The T-intercept 8.50°C represents that the value of the average surface temperature of the earth in the year 1900.

(b)

To determine

To predict: The average global surface temperature in 2100 by using the equation.

Expert Solution

The average surface temperature of the earth in 2100 is predicted to 12.5°C .

Explanation of Solution

Given:

The surface temperature of the earth is a linear function, T=0.02t+8.50 , where T is temperature in C and t represents years.

Calculation:

Substitute 200 for t in T=0.02t+8.50 ,

T=0.02(200)+8.50=4+8.50=12.50

The average global surface temperature in 2100 is 12.5°C .

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