Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2+48x+24 ounces. Which factorization could represent the number of water bottles and weight of each water bottle?
Answer
A
12 times open paren 5 x squared plus 4 x plus 2 close paren
B
6 times open paren 10 x squared plus 8 x plus 2 close paren
C
12 x open paren 5 x squared plus 4 x plus 2 close paren
D
6 x open paren 10 x squared plus 8 x plus 2 close paren
Explanation
The total weight is the number of bottles multiplied by the weight of each bottle. Factoring 12 from 60x² + 48x + 24 gives 12(5x² + 4x + 2), which expands back to the given total. So the factorization that could represent the number of bottles and the weight of each bottle is 12 times (5x² + 4x + 2).
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