Use the table to answer the question.

Question

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

40.0%
40.0%

83.3%
83.3%

45.5%
45.5%

100.0%

Answer 1

To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we can use the formula:

(Total number of farmers who grow carrots in rocky soil) / (Total number of farmers who grow carrots) * 100

From the table, we can see that 100 farmers grow carrots in rocky soil, and the total number of farmers who grow carrots is 220.

(100 / 220) * 100 = 45.5%

So, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 45.5%.

Therefore, the correct answer is:

45.5%