To determine which of the situations can be solved by using the equation \( 13r = 156 \), we need to check if there are two quantities that multiply together to give 156, where one quantity is 13 and the other is represented by \( r \).
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Option A: "The new novel Patrick checked out at the library has r number of chapters. If it takes Patrick 13 minutes to read each chapter, he will have the book finished in 156 minutes."
- Here, the relationship is \( 13 \times r = 156 \) (13 minutes per chapter times r chapters equals total time of 156 minutes). This situation can be solved by the equation \( 13r = 156 \).
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Option B: "A bakery sold 13 pies on Monday. If each pie costs r dollars, the bakery made a total of $156."
- In this case, the relationship is \( 13 \times r = 156 \) (13 pies times r dollars per pie equals total revenue of 156 dollars). This situation can also be solved by the equation \( 13r = 156 \).
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Option C: "Susan spent a total of $156 yesterday when she bought a new shirt for $13 and a new dress for r dollars."
- Here, the relationship is \( 13 + r = 156 \) (the cost of the shirt plus the cost of the dress equals total spending). This situation does not fit the equation \( 13r = 156 \).
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Option D: "A bus driver made 13 stops along his route this morning. If he had r number of people left on his bus at the end of his route, he picked up a total of 156 people during his route."
- In this case, the relationship does not lead to a clear equation of the form \( 13r = 156 \) but rather could involve a different equation entirely (the people picked up and left isn't directly related multiplicatively to the 13 stops).
Based on this analysis, the two situations that can be solved using the equation \( 13r = 156 \) are:
A and B.
3 answers