The temperatures in the northern and southern hemispheres move in opposite direc

Question

The temperatures in the northern and southern hemispheres move in opposite directions during the year. As the temperatures rise in the northern hemisphere from February to July, they drop in the southern hemisphere during these same months. The average monthly temperature (in Fahrenheit) for England from February through July can be approximated be the equation y = 4.3x + 44, where x is the number of months since February. The average monthly temperature (in Fahrenheit) in Australia from February through July can be approximated by the equation y= -5.1x + 79, where x is the number of months since February. Use these equations to determine the month in which the average monthly temperature of England is the same as the average monthly temperature of Australia.

Answer (During May)

Explanation / Answer

Given  the average monthly temperature of England is y = 4.3x + 44

the average monthly temperature of Australia is y= -5.1x + 79

where x is the number of months since February.

the average monthly temperature of England is the same as the average monthly temperature of Australia.

4.3x + 44 = -5.1x + 79

4.3x+5.1x = 79-44

9.4x = 35

x = 35/9.4

x = 350/94

x = 3.72

Means after 3 months during the fourth month from February, the average monthly temperature of England is the same as the average monthly temperature of Australia.

February(1), March(2), April(3), May(4).

Therefore, the average monthly temperature of England is the same as the average monthly temperature of Australia during the month MAY.

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