Which expression shows that x is decreased by 30%?
Responses
A x – 0.30x – 0.30
B
x
0.30 x 0.30
C 0.70x0.70 x
D
x
0.70
C 0.70x
The correct expression that shows x is decreased by 30% is:
D) x - (0.30x)
To show that x is decreased by 30%, you need to subtract 30% of x from x.
Let's break down the options to determine which one matches this expression:
A) x - 0.30x - 0.30
In this option, x is being subtracted by 0.30x (which is 30% of x), but there is also an additional -0.30. This is incorrect because we only need to subtract 30% of x, not an extra -0.30.
B) x
0.30 x 0.30
In this option, there is no subtraction. It only shows x and two separate values, 0.30 and 0.30. This does not represent a decrease by 30%.
C) 0.70x
0.70 x
In this option, x is multiplied by 0.70, which is equivalent to subtracting 30% of x. This option correctly represents a decrease by 30%.
D) x
0.70
In this option, x is divided by 0.70, which is equivalent to a decrease by approximately 1/0.70, not 30%. This is incorrect.
Therefore, the correct expression that shows x is decreased by 30% is option C) 0.70x.