Question

Use the table to answer the question.

Daffodils 3 6 10 12
Roses 4 8 12 16
There are 4 roses and 3 daffodils in a bouquet of flowers. Use this information to make a table to determine how many roses and daffodils would be in 4 bouquets.

(1 point)
Responses

The table is not set up correctly because all the ratios in the table cannot be simplified to 34
.
The table is not set up correctly because all the ratios in the table cannot be simplified to Start Fraction 3 over 4 End Fraction .

The table is set up correctly because at least two ratios in the table can be simplified to 34
.
The table is set up correctly because at least two ratios in the table can be simplified to Start Fraction 3 over 4 End Fraction .

The table has been set up correctly because all ratios in the table simplify to 16
.
The table has been set up correctly because all ratios in the table simplify to Start Fraction 1 over 6 End Fraction .

The table has been set up incorrectly because all the ratios are equivalent.
The table has been set up incorrectly because all the ratios are equivalent.
Remaining Attempts : 3
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Answer 1

To determine how many roses and daffodils would be in 4 bouquets, we first look at the given quantities of roses and daffodils in one bouquet. According to the information, each bouquet contains:

- 4 roses
- 3 daffodils

Therefore, in 4 bouquets, the total number of each type of flower can be calculated as follows:

- Total roses in 4 bouquets = 4 bouquets × 4 roses/bouquet = 16 roses
- Total daffodils in 4 bouquets = 4 bouquets × 3 daffodils/bouquet = 12 daffodils

Next, we can create a table to present this information:

| Bouquets | Daffodils | Roses |
|----------|-----------|-------|
| 1 | 3 | 4 |
| 2 | 6 | 8 |
| 3 | 9 | 12 |
| 4 | 12 | 16 |

Next, we need to analyze the table in context with the question about whether all the ratios can be simplified to \( \frac{3}{4} \) (the ratio of daffodils to roses).

In the table, the ratio of daffodils to roses for one bouquet is:

- \( \frac{3}{4} \) for 1 bouquet
- \( \frac{6}{8} \) for 2 bouquets, which simplifies to \( \frac{3}{4} \)
- \( \frac{9}{12} \) for 3 bouquets, which simplifies to \( \frac{3}{4} \)
- \( \frac{12}{16} \) for 4 bouquets, which simplifies to \( \frac{3}{4} \)

Since all ratios in the table can be simplified to \( \frac{3}{4} \), the correct response is:

**The table is set up correctly because all ratios in the table can be simplified to \( \frac{3}{4} \).**