Either Table F or Table G shows a proportional relationship. Table F x 1 2 4 5 y 2 4 8 10 Table G x 3 5 7 9 y 1 3 5 7 BRAINLIEST FOR WHOEVER GIVES THE RIGHT ANSWER

Mathematics · High School · Thu Feb 04 2021

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To determine if a table shows a proportional relationship, you must check if the ratio of y to x is constant for all pairs of data in the table. We can calculate this by dividing each y value by its corresponding x value.

For Table F: - When x is 1, y is 2. The ratio is 2/1 or 2. - When x is 2, y is 4. The ratio is 4/2 or 2. - When x is 4, y is 8. The ratio is 8/4 or 2. - When x is 5, y is 10. The ratio is 10/5 or 2.

The ratio of y to x in Table F is constant, which is always 2. Thus, Table F shows a proportional relationship.

For Table G: - When x is 3, y is 1. The ratio is 1/3. - When x is 5, y is 3. The ratio is 3/5. - When x is 7, y is 5. The ratio is 5/7. - When x is 9, y is 7. The ratio is 7/9.

The ratios are not constant, as each one is different. This shows that Table G does not represent a proportional relationship.

Therefore, Table F shows a proportional relationship.

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