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: \(-4.8x + 1.5\).