To determine how many collectible dolls Mariah can buy, we can start by setting up the equation based on her total budget and the cost of each doll.
Let \( d \) represent the number of dolls Mariah wants to buy. The cost of each doll is $4.50, and she has $75.00 to spend.
The equation that represents this situation is:
\[ 4.5d = 75 \]
This means the total cost of \( d \) dolls at $4.50 each must equal $75.00.
Therefore, the correct answer is:
4.5d = 75