Question

the value of x is decreased by 31%. which expression represents this situation? answer 0.69x 0.31x 31x 0.969x

Explanation:

Step1: Understand percentage decrease

When a value \( x \) is decreased by \( 31\% \), we first find the remaining percentage of \( x \). The remaining percentage is \( 100\% - 31\% = 69\% \).

Step2: Convert percentage to decimal

To convert \( 69\% \) to a decimal, we divide by \( 100 \), so \( 69\%=\frac{69}{100} = 0.69 \).

Step3: Find the expression for the decreased value

The value of \( x \) after a \( 31\% \) decrease is \( 0.69\times x=0.69x \).

Answer:

\( 0.69x \) (corresponding to the option "0.69x")