TWO expressions represent the value of b increased by 25% - B: 1.25b and D: b+0.25b . Therefore , B: 1.25b and D: b+0.25b is correct .
The expression that represents the value of b increased by 25% is B:1.25b.
Let's understand why:
Expression A: 0.25b represents 25% of b, but it does not add this amount to b.
It only calculates a quarter of b.
Expression B: 1.25b represents b increased by 25%.
When you multiply b by 1.25, you are essentially adding 25% of b to itself.
Expression C: b+0.25 is incorrect because adding 0.25 to b does not represent a 25% increase.
It adds a constant value of 0.25, not a percentage of b.
Expression D: b+0.25b represents the sum of b and 25% of b (which is 0.25b).
This simplifies to 1.25b, which is the correct expression for a 25% increase in b.
Expression E: 1+0.25b is incorrect because it adds 1 to 25% of b, which is not the same as a 25% increase in b.
Therefore, the correct expressions are B: 1.25b and D: b+0.25b. Both of these represent the value of b increased by 25%.
Question
Which TWO expressions represent the value of b increased by 25%?
A 0.25b B 1.25b C b+0.25 D b+0.25b E 1+0.25b