A bakery can make 42 cheesecakes for every 6 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?

Answer 1

To represent the relationship between the number of cheesecakes and the number of blocks of cream cheese, we can establish a ratio based on the information provided: The bakery makes 42 cheesecakes for every 6 blocks of cream cheese.

First, we can find the ratio of cheesecakes to cream cheese blocks, which can be simplified:

\[ \frac{42 \text{ cheesecakes}}{6 \text{ blocks of cream cheese}} = 7 \text{ cheesecakes per block of cream cheese} \]

This indicates that for every block of cream cheese used, the bakery can make 7 cheesecakes.

Now, we can create a table based on this ratio:

| Blocks of Cream Cheese | Number of Cheesecakes | |------------------------|-----------------------| | 1 | 7 | | 2 | 14 | | 3 | 21 | | 4 | 28 | | 5 | 35 | | 6 | 42 |

The above table clearly represents the linear relationship between the number of blocks of cream cheese used and the number of cheesecakes made. You can add more rows to the table by following the same ratio, for instance, at 7 blocks of cream cheese, the bakery could make 49 cheesecakes, etc.