To represent the situation mathematically, you can use the equation based on the total cost of renting movies. Since Lila rents 5 movies for a total of $24.75, the equation can be modeled as:
\[ 5c = 24.75 \]
where \( c \) is the cost to rent one movie.
Now, to find the cost per movie, you can solve the equation for \( c \):
- Divide both sides of the equation by 5:
\[ c = \frac{24.75}{5} \]
- Perform the division:
\[ c = 4.95 \]
Thus, the cost to rent one movie is $4.95.