Final answer:
The expression that is equivalent to 1/2 r 8p - 3/4 r - 2p is option 4) 1/2 r 8p - 3/4 r + 2p.
Step-by-step explanation:
The expression that is equivalent to 1/2 r 8p - 3/4 r - 2p is option 4) 1/2 r 8p - 3/4 r + 2p.
To simplify the expression, we can combine the like terms. The terms '8p' and '-2p' can be added together to give '6p'. Therefore, the simplified expression is 1/2 r 6p - 3/4 r, which is equivalent to option 4.