A multiplication table.
Which statement explains why Jayden’s reasoning is correct?
The ratio 8:14 is 4:7 times 2, and the ratio 24:42 is 4:7 times 6.
The terms 8 and 14 are multiples of 2, and the terms 24 and 42 are also multiples of 2 when the table is extended.
The term 24 is a multiple of the term 8, and the terms 14 and 42 are multiples of 7.
The ratio 8:14 is equivalent to 2:7, and the ratio 24:42 is also equivalent to 2:7.
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The correct statement that explains why Jayden’s reasoning is correct is:
The ratio 8:14 is equivalent to 2:7, and the ratio 24:42 is also equivalent to 2:7.
This is because both ratios can be simplified to the same lowest terms, which confirms they are equivalent. Specifically, when you simplify 8:14, you divide both terms by 2 to get 4:7, and when you simplify 24:42, you also divide both terms by 6 to get 4:7, which shows they both reduce to the same ratio of 2:7.
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