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

• 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: \(0.6 \times (-8x)\) and \(0.6 \times 2.5\).
3. Calculate each multiplication step without combining yet: \(0.6 \times (-8x) = (0.6 \times -8) x\) and \(0.6 \times 2.5 = 0.6 \times 2.5\).
4. Simplify the coefficients from the multiplications: multiply \$0.6\( by \)-8\( to get the coefficient for \)x\(, and multiply \)0.6\( by \)2.5$ for the constant term.
5. Write the simplified expression by combining the results from the previous step: the term with \(x\) and the constant term, keeping the correct signs.