Mccoy Mullins
05/18/2024 · Senior High School
Part A: Roger is making 7 batches of blueberry pancakes. If it takes \( 1 \frac{1}{4} \) cups of blueberries to make 1 batch of pancakes, write a proportion that can be used to find the amount of blueberries that will be needed to make 7 batches. Part B: Roger says that he will need 9 cups of blueberries to make the 7 batches of pancakes. Is Roger correct? Part C: Support your answer to Part B by creating a proportion using 9 cups of blueberries, and test it using cross products.
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### Part A:
The proportion to find the amount of blueberries for 7 batches is:
\[
\frac{5}{4} = \frac{x}{7}
\]
### Part B:
Roger is not correct. He needs \( 8.75 \) cups of blueberries, not 9 cups.
### Part C:
The cross-multiplication test confirms Roger's incorrectness:
\[
5 \cdot 7 \neq 4 \cdot 9
\]
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