The products of a certain company rose by 10% in 2008 and 12% in 2009, and went down 4% in 2010. What is the percentage of variation in prices in those three years?
((I'm copying this from my textbook and what is this even a type of math question help plEASE))
To increase something by 10%, you can multiply by 1.10 (The 1 give you back the original amount, the .10 give the extra 10%).
To increase something by 12%, you can multiply by 1.12 (The 1 give you back the original amoun,t the .12 give the extra 12%).
To decrease something by 4%, you can multiply by 0.96 (0.96 = 1.00 - 0.04; the 1 gives you back the original amount, the -0.04 decreases that amount by 4%).
Let's say that the original amount was $100.00.
After a 10% increase: $100.00 x 1.10 = $110.00.
Starting with $110.00, after a 12% increase: $110.00 x 1.12 = $123.20.
After a 4% decrease: $123.20 x 0.96 = $118.272.
I don't understand the phrase "percentage of variation in prices in those three years"; could it mean that they are looking for the final percent of variation after three years? If so, it would be 18.272%. (And that's why I started with $100.00.)
To increase something by 10%, you can multiply by 1.10 (The 1 give you back the original amount, the .10 give the extra 10%).
To increase something by 12%, you can multiply by 1.12 (The 1 give you back the original amoun,t the .12 give the extra 12%).
To decrease something by 4%, you can multiply by 0.96 (0.96 = 1.00 - 0.04; the 1 gives you back the original amount, the -0.04 decreases that amount by 4%).
Let's say that the original amount was $100.00.
After a 10% increase: $100.00 x 1.10 = $110.00.
Starting with $110.00, after a 12% increase: $110.00 x 1.12 = $123.20.
After a 4% decrease: $123.20 x 0.96 = $118.272.
I don't understand the phrase "percentage of variation in prices in those three years"; could it mean that they are looking for the final percent of variation after three years? If so, it would be 18.272%. (And that's why I started with $100.00.)