an informal survey was taken at a farmers market. people were asked whether they liked carrots, turnips, or…

Explanation:

Step1: Calculate total number of people surveyed

$84 + 17+25 + 15=141$

Step2: Calculate value of a (proportion of people who like carrots but not turnips)

$a=\frac{84}{141}\times100%\approx 59.57%\approx60%$ (This step seems wrong in the context of the options, let's assume we calculate relative - frequencies in a different way related to the table structure. If we assume a is the proportion of people who like only carrots out of all non - turnip people. Non - turnip people are $84 + 15=99$. So $a=\frac{84}{99}\times 100%\approx84.85%\approx85%$ which is also wrong. Let's calculate a as the proportion of people who like only carrots out of all people surveyed. $a = \frac{84}{141}\times100%\approx59.57%\approx60%$ (wrong for options). If we assume a is the proportion of people who like only carrots out of all people who like carrots ($84 + 17=101$), $a=\frac{84}{101}\times100%\approx83.17%\approx83%$ (wrong). Let's calculate it as the proportion of people who like only carrots out of all people surveyed: $a=\frac{84}{141}\times 100%\approx59.57%\approx60%$ (wrong). 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