Over the last 50 years, the average temperature has increased by 2.5 degrees worldwide. What is the rate of change in worldwide temperatures per year? (Please help, I'm very confused!)
2.5^(1/50) =1.018495 - 1 =0.018495 x 100 =~1.85% per year - average increase in temperature.
I think you'll need to use the ACTUAL KELVIN degrees (not just the absolute value of the increase) to calculate the PERCENTAGE increases of temperature over the years. (actual temps not given in question)
1.85% x 50 years = would be a 93 % increase in temperature !
.....and please realize, these are made up numbers for your question....don't believe the temps have gone up quite that much:
"For example, the average annual temperature for the globe between 1951 and 1980 was around 57.2 degrees Fahrenheit (14 degrees Celsius). In 2015, the hottest year on record, the temperature was about 1.8 degrees F (1 degree C) warmer than the 1951–1980 base period."
EP: An increase of 1.85% is compound increase in temperature. That is: 1.85% x 2.5 =0.04625 degress - average annual increase in temp. compounded annually. Both, your calculation and mine are accurate: yours is a simple average annual increase; mine is a compound average annual increase.
I see what you are saying ..... Your answer calc is correct but it needs to state the temperature increase was .018495 DEGREES per year NOT 1.85 %.
Another way say the ave temp was 100 degrees then fifty years late the temp was 102.5 the average temperature increase over the 50 years was .018495 dgrees per year not 1.85% Do you see? Thanx !