Use the distributive property to simplify the expression.
$0.6(-8x+2.5)$

• A. $4.8x-1.5$
• B. $-8x+1.5$
• C. $-4.8x+1.5$
• D. $8x+1.5$

Answer: (C)

Verified step by step guidance

1. Identify the expression to simplify: \(0.6\left(-8x + 2.5\right)\).
2. Apply the distributive property, which means multiplying \$0.6\( by each term inside the parentheses separately: multiply \)0.6\( by \)-8x\( and then multiply \)0.6\( by \)2.5$.
3. Write the multiplication for each term: \(0.6 \times (-8x)\) and \(0.6 \times 2.5\).
4. Simplify each multiplication: multiply the numbers and keep the variable with its sign, so \(0.6 \times (-8x)\) becomes \(-4.8x\), and \(0.6 \times 2.5\) becomes \$1.5$.
5. Combine the results to write the simplified expression: \(-4.8x + 1.5\).