SOLUTION: I am trying to determine whether or not this statement makes sense and please explain. "Gas prices jumped by 1% in January and 1% in February, so the increase in gas prices over t

Algebra ->  Expressions-with-variables -> SOLUTION: I am trying to determine whether or not this statement makes sense and please explain. "Gas prices jumped by 1% in January and 1% in February, so the increase in gas prices over t      Log On


   

Question 1146835: I am trying to determine whether or not this statement makes sense and please explain.
"Gas prices jumped by 1% in January and 1% in February, so the increase in gas prices over the two months was 2%."
Found 2 solutions by ikleyn, richwmiller:
Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
.

The statement is INCORRECT.


The increase in gas prices over the two months was


    ((1+0.01)*(1+0.01)-1)*100 = 2.01%.


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
in January the price rose from 100% of 10.0 to 101%
1.01*10=10.1
in February the price rose another 1% from 100% of 10.1 to 101% of 10.1
1.01*10.1=10.201
so the increase was 2.01 not a lot more than 2 but not 2 either