Question

Use the table to answer the question. Determining the percentage of farmers with sandy 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 farmers with sandy soil prefer to grow carrots? Round your answer to the nearest tenth. (1 point) Responses 70.6% 70.6% 120.0% 120.0% 54.5% 54.5% 41.7

Answer 1

To determine the percentage of farmers with sandy soil who prefer producing carrots, we can follow these steps:

1. Find the total number of farmers with sandy soil. This is already provided in the table:

   • Farmers with sandy soil: 170 (120 who prefer carrots + 50 who prefer peppers).

2. Find the number of farmers with sandy soil who prefer carrots. This is also provided in the table:

   • Farmers with sandy soil who prefer carrots: 120.

3. Calculate the relative frequency (percentage) of farmers with sandy soil who prefer carrots: $$\text{Percentage}=\left(\frac{\text{Number of farmers with sandy soil who prefer carrots}}{\text{Total number of farmers with sandy soil}}\right)\times 100$$ $$\text{Percentage}=\left(\frac{120}{170}\right)\times 100\approx 70.5882$$

4. Round to the nearest tenth: $$70.5882\approx 70.6$$

Thus, the percentage of farmers with sandy soil who prefer producing carrots is 70.6%.

The correct response is: 70.6%.