To determine the amount of tax, \( x \), that Francesca pays for each song, we need to account for both the cost of the songs and the total amount paid.
Each song costs $1.99 and she buys 25 songs, which gives a total cost of the songs before tax as \( 25 \cdot 1.99 \). The total amount that Francesca paid is $52.74, which includes the tax for each song.
To find the total tax paid, we can express the total cost with tax as the cost of the songs plus the total tax. Since the tax is added to each song, the total tax for 25 songs would be \( 25x \).
So the correct way to set up the equation will be:
\[ 25(1.99) + 25x = 52.74 \]
This can be simplified to:
\[ 25(1.99 + x) = 52.74 \]
Looking at the given options, the equation that matches this is:
25(1.99 + x) = 52.74
Thus, the correct choice would be:
25(1.99+x)=52.74