Answer:
- smaller by 98%
- smaller by 90%
- smaller by 72%
- smaller by 10%
- larger by 25%
- larger by 50%
Step-by-step explanation:
The formula for the computation of a percentage change is ...
percent change = ((new value) - (old value))/(old value) × 100%
This can be rearranged to ...
percent change = ((new value)/(old value) - 1) × 100%
Here, your "old value" is "2b". All of the "new value" numbers have "b" as a factor, so the "b" in numerator and denominator of the ratio cancel and you're left with ...
percent change = ((coefficient of b)/2 -1) × 100%
Since you have several of these to do, it is convenient to let a calculator or spreadsheet handle the list of numbers. (See the attachment.)
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When the "percent change" is a negative number, it means the "new value" is smaller by that percentage. When it is positive, it means the "new value" is larger.
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If you want to run through the formula by hand for one of the numbers, for the first one that looks like ...
percent change = (0.04/2 -1)×100% = (.02 -1)×100% = -0.98×100% = -98%
This is interpreted to mean that 0.04b is smaller than 2b by 98%.
