Final answer:
The expression equivalent to (7.9x + 2)(0.5x) is 3.95x² + 1x. You expand the expression by multiplying 0.5x with both terms in the parentheses, which leads you to the equivalent expression in option B.
Step-by-step explanation:
Finding the Equivalent Expression
You asked which expression is equivalent to (7.9x + 2)(0.5x). To find the equivalent expression, we will distribute (multiply) 0.5x across each term in the first parenthesis:
7.9x × 0.5x = 3.95x² (since 7.9 × 0.5 = 3.95 and x × x = x²)
2 × 0.5x = 1x (since 2 × 0.5 = 1)
Therefore, the expression simplifies to 3.95x² + 1x, which matches option B.