Because different cities are located in different climates t

Because different cities are located in different climates, the relationship between hours of sunlight and average temperature may vary. The following graph shows the relationship between average temperature and hours of sunlight in two cities located in two very different climates. 80 70 50 30 20 10 0 2 4681012 14 16 1 20 SUNLIGHT (Hours per day) The slope of the orange line between points A and B is , and the slope of the blue line between points C and D is

Solution

a)Since, points A(8,50) and B(12,90) lie on the orange line. The slope is 90-50/12-8 = 40/4 = 10

b) Since, points C(8,30) and B(12,60) lie on the blue line. The slope is 60-30/12-8 = 30/4 = 7.5.

Thus, the mathematical slope of the steeper line is moe than that of the less steep one.