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ECON 2305 - Measuring the slopes of lines Because different cities are located i

ID: 1225409 • Letter: E

Question

ECON 2305 - Measuring the slopes of lines

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.

The slope of the orange line between points A and B is (10 hours of sunlight per degree ) , and the slope of the blue line between points C and D is (7.5 hours of sunlight per degree ) .

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

*** I am not sure if it is 10 hours of sunlight per degree OR 10 degrees per hour of sunlight same with 7.5 hours of sunlight per degree OR 7.5 degrees per hour of sunlight

Can someone help me with this thank you

Explanation / Answer

Slope is measured as = change in y-axis/change in x-axis.

slope between A and B = (90-50)/(12-8)

Slope = 10 degrees per hour. (because degrees is measured on y-axis and hours per day on x-axis and as per the formula, slope is yaxis/x-axis).

Similarly, Slope between C and D = (60-30)/(12-8)

Slope = 7.5 degrees per hour.