Question

Use the table to answer the question. Determining the percentage of farmers with rocky soil who prefer producing carrots. Carrots Peppers Totals Sandy Soil 120 50 170 Rocky Soil 100 150 250 Totals 220 200 420 Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth. (1 point) Responses 83.3% 83.3% 40.0% 40.0% 100.0% 100.0% 45.5%

Answer 1

To determine the percentage of farmers with rocky soil who prefer producing carrots, we first need to analyze the data provided in the table.

From the table, we have:

• Total farmers who prefer carrots = 220 (120 with sandy soil + 100 with rocky soil)
• Total farmers with rocky soil = 250 (100 growing carrots + 150 growing peppers)

Now, we want to find the percentage of carrot growers who have rocky soil.

The proportion of carrot growers who have rocky soil can be calculated using the formula:

\[ \text{Percentage} = \left( \frac{\text{Number of carrot growers with rocky soil}}{\text{Total number of carrot growers}} \right) \times 100 \]

Now, plugging in the numbers:

\[ \text{Percentage} = \left( \frac{100}{220} \right) \times 100 = 45.5% \]

Thus, the percentage chance that if a farmer prefers to grow carrots, they have rocky soil is:

45.5%

So the correct response is 45.5%.