Final answer:
The equivalent expression to 1/3 (4 - 5x - 1) is found by distributing the 1/3 across each term within the parentheses, resulting in -5/3x + 1, which corresponds to option c.
Step-by-step explanation:
The question asks which expression is equivalent to 1/3 (4 - 5x - 1). To find the equivalent expression, we distribute the 1/3 inside the parentheses to every term.
- 1/3 × 4 = 4/3 or 1.33
- 1/3 × (-5x) = -5/3x
- 1/3 × (-1) = -1/3
Adding these results together:
4/3 + (-5/3x) + (-1/3) = -5/3x + 1, because 4/3 - 1/3 = 3/3, which simplifies to 1.
Hence, the equivalent expression is -5/3x + 1, which corresponds to option c.