Use the table to answer the question.

Coups 1 2 3 4 5
Chickens 10 20 30 40 50
There are 10 chickens in each coup on Mr. Tiki’s farm. A ratio table has been created to determine how many chickens there are in 5 coups. Is this ratio table set up correctly?

(1 point)
Responses

The table is set up correctly because at least two ratios in the table can be simplified to 110.
The table is set up correctly because at least two ratios in the table can be simplified to Start Fraction 1 over 10 End Fraction .

The table has been set up correctly because all ratios in the table ratio evaluate to 15.
The table has been set up correctly because all ratios in the table ratio evaluate to Start Fraction 1 over 5 End Fraction .

The table is set up correctly because all the ratios in the table can be simplified to 110.
The table is set up correctly because all the ratios in the table can be simplified to Start Fraction 1 over 10 End Fraction .

The table has been set up correctly because the first and last ratios are equivalent.
The table has been set up correctly because the first and last ratios are equivalent.
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1 answer

Let's analyze the table closely.

  • Coup 1: 1 coup has 10 chickens, which gives the ratio \(1:10\).
  • Coup 2: 2 coups have 20 chickens, which gives the ratio \(2:20\) (which simplifies to \(1:10\)).
  • Coup 3: 3 coups have 30 chickens, which gives the ratio \(3:30\) (which simplifies to \(1:10\)).
  • Coup 4: 4 coups have 40 chickens, which gives the ratio \(4:40\) (which simplifies to \(1:10\)).
  • Coup 5: 5 coups have 50 chickens, which gives the ratio \(5:50\) (which simplifies to \(1:10\)).

From the observations above, we see that all ratios in the table (\(1:10\), \(2:20\), \(3:30\), \(4:40\), \(5:50\)) can be simplified to \(1:10\).

Now let's check each response option based on this analysis:

  1. The table is set up correctly because at least two ratios in the table can be simplified to 110. (Incorrect, the simplified form is \(1:10\))
  2. The table is set up correctly because at least two ratios in the table can be simplified to Start Fraction 1 over 10 End Fraction. (Correct)
  3. The table has been set up correctly because all ratios in the table ratio evaluate to 15. (Incorrect, none of the ratios evaluate to 15)
  4. The table has been set up correctly because all ratios in the table ratio evaluate to Start Fraction 1 over 5 End Fraction. (Incorrect)
  5. The table is set up correctly because all the ratios in the table can be simplified to 110. (Incorrect, again, the simplified form is \(1:10\))
  6. The table is set up correctly because the first and last ratios are equivalent. (This is true but is not the best response compared to the second one)

Based on this analysis, the best answer is:

The table is set up correctly because at least two ratios in the table can be simplified to Start Fraction 1 over 10 End Fraction.