To find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we need to calculate the amount of sugar used for each case.
From the table, we can see that:
- For 1 batch of cookies, Sonya uses 2-7 cups of sugar.
- For 2 batches of cookies, Sonya uses 47/17 cups of sugar.
- For 3 batches of cookies, Sonya uses 6²2/2 cups of sugar.
To calculate the amount of sugar used for 9 batches of cookies, we can use the pattern observed in the given values:
- For 4 batches of cookies, Sonya uses 2-7 cups of sugar.
- For 5 batches of cookies, Sonya uses 47/17 cups of sugar.
- For 6 batches of cookies, Sonya uses 6²2/2 cups of sugar.
- For 7 batches of cookies, Sonya uses 2-7 cups of sugar.
- For 8 batches of cookies, Sonya uses 47/17 cups of sugar.
- For 9 batches of cookies, Sonya uses 6²2/2 cups of sugar.
Therefore, to find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we subtract the amounts:
Amount of sugar for 9 batches - Amount of sugar for 3 batches
[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]
Simplifying the expression, we get:
[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]
= 6²2/2 - 6²2/2
= 0
Therefore, the correct answer is:
d) 19 1/4
There is no difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies.