Problem

A bakery can make 70 cheesecakes for every 7 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses? A \begin{tabular}{|c|c|} \hline Cheesecakes & \begin{tabular}{c} Cream Chesse \\ (blocks) \end{tabular} \\ \hline 7 & 1 \\ \hline 14 & 2 \\ \hline 21 & 3 \\ \hline \end{tabular} C \begin{tabular}{|c|c|} \hline Cheesccakes & \begin{tabular}{c} Cream Cheese \\ (blochs) \end{tabular} \\ \hline 1 & 10 \\ \hline 2 & 20 \\ \hline 3 & 30 \\ \hline \end{tabular} B \begin{tabular}{|c|c|} \hline Cbeesecakes & \begin{tabular}{c} Cream Chesec \\ (blocks) \end{tabular} \\ \hline 10 & 1 \\ \hline 20 & 2 \\ \hline 30 & 3 \\ \hline \end{tabular} D \begin{tabular}{|c|c|} \hline Checectakes & \begin{tabular}{c} Cream Chicose \\ (thlocks) \end{tabular} \\ \hline 1 & 7 \\ \hline 2 & 14 \\ \hline 3 & 21 \\ \hline \end{tabular}

Solution

Step 1 :The problem states that the bakery can make 70 cheesecakes for every 7 blocks of cream cheese. This means that for each block of cream cheese, the bakery can make \(\frac{70}{7} = 10\) cheesecakes.

Step 2 :We are looking for a table that shows this relationship: for each block of cream cheese, there are 10 cheesecakes.

Step 3 :Table A shows a relationship of 7 cheesecakes for each block of cream cheese, which does not match the problem statement.

Step 4 :Table B shows a relationship of 10 cheesecakes for each block of cream cheese, which matches the problem statement.

Step 5 :Table C shows a relationship of 1 cheesecake for every 10 blocks of cream cheese, which does not match the problem statement.

Step 6 :Table D shows a relationship of 1 cheesecake for every 7 blocks of cream cheese, which does not match the problem statement.

Step 7 :Therefore, the correct answer is \(\boxed{\text{Table B}}\).

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Source: https://solvelyapp.com/problems/0Ll5jBZvho/

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