\begin{tabular}{l} Mason compares two plans for an online book club. \\ \begin{tabular}{l|l|l|l|}\hline Which equation can be used to solve for the number of books, \( b \), for which the cost of \\ Plan \( A \) equals Plan \( B \) ? \end{tabular} \\ \hline\end{tabular}

To compare the two plans, you’ll want to set up equations for each plan. Suppose Plan A costs \( C_A \) and is structured as \( C_A = a \cdot b + f \), where \( a \) is the cost per book and \( f \) is a fixed fee. For Plan B, let’s say it costs \( C_B = c \cdot b + g \), with \( c \) as its cost per book and \( g \) as the fixed fee. To find the number of books \( b \) where these costs are equal, you set \( C_A = C_B \). So the equation to solve will look like this: \( a \cdot b + f = c \cdot b + g \). Rearranging this gives you the perfect way to determine how many books need to be read for both plans to cost the same! Comparing costs like this can save you money in the long run! After solving the equation, if you find \( b \) to be, say, 10 books, then you can feel confident that you won't be overspending on your online book club of choice. Just don't forget to factor in any potential membership benefits that may tip the scales in favor of one plan over the other!