5 Measuring the slopes of lines Aa Aa Because different citi

5. Measuring the slopes of lines Aa Aa 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: AVERAGE TEMPERATURE (Degreesl 100 90 80 70 60 50 40 30 20 10 2 46 8 10 12 14 16 18 20 HOURS OF SUNLIGHT The slope of the orange line between points A and B is blue line between points C and D is and the slope of the 4 degrees per hour of sunlight 8 degrees per hour of sunlight 12 degrees per hour of sunlight 12 hours of sunlight per degree 4 hours of sunlight per degree 8 hours of sunlight per degree The mathematical slope of the steeper line is

Solution

Slope between A and B= Rise /Run

= 90-70/12-7=20/5= 4 degrees per hour of sunlight.

Slope between C and D= 60-20/12-7=40/5= 8 degrees per hour of sunlight.

The slope of the steeper line is greater than the slope of the less-steep line.