Which expression shows that x is increased by 5%?
Responses
A x + 0.05x + 0.05
B 1.05x1.05 x
C
x
0.50 x 0.50
D x + 5x
B 1.05x
The expression that shows that x is increased by 5% is A) x + 0.05x + 0.05
The correct expression that shows that x is increased by 5% is A) x + 0.05x + 0.05.
To understand why this expression represents an increase of 5% on x, we need to break it down:
1. The term "x" represents the original value of x.
2. The term "0.05x" represents 5% of the original value of x. Multiplying x by 0.05 gives us 5% of x.
3. The term "0.05" represents 5% as a decimal. This is added separately to account for the 5% increase.
4. Adding all these terms together gives us the total value after increasing x by 5%.
Therefore, by simplifying the expression x + 0.05x + 0.05, we get the increased value of x.