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Multiple Choice
If Lauren's salary decreases from \$34,000 to \$30,000, what is the percentage decrease in her salary?
A
15.00\%
B
11.76\%
C
8.82\%
D
12.50\%
Verified step by step guidance
1
Step 1: Understand the formula for percentage decrease, which is: \( \text{Percentage Decrease} = \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100 \).
Step 2: Identify the original value (Lauren's initial salary) as \( \$34,000 \) and the new value (Lauren's reduced salary) as \( \$30,000 \).
Step 3: Calculate the difference between the original value and the new value: \( \text{Difference} = \text{Original Value} - \text{New Value} = \$34,000 - \$30,000 \).
Step 4: Divide the difference by the original value to find the proportion of the decrease: \( \text{Proportion} = \frac{\text{Difference}}{\text{Original Value}} \).
Step 5: Multiply the proportion by 100 to convert it into a percentage: \( \text{Percentage Decrease} = \text{Proportion} \times 100 \).