Final answer:
Lin will not meet her goal by selling 6 boxes, as the total would be $22.50. By selling 20 boxes, she will reach her goal, earning $75. The inequality to represent Lin's goal using 'b' as the number of boxes sold is 3.75b > 30.
Step-by-step explanation:
To determine if Lin meets her goal of earning more than $30 from selling boxes of cookies, we need to multiply the number of boxes sold by the price per box and compare the result to Lin's financial goal. Each box of cookies costs $3.75.
- For 6 boxes: 6 boxes × $3.75 per box = $22.50. Lin will not meet her goal because $22.50 is less than $30.
- For 20 boxes: 20 boxes × $3.75 per box = $75.00. Lin will meet her goal because $75 is greater than $30.
- The inequality: To express the condition for Lin to meet her goal using the variable b for the number of boxes sold, the inequality is 3.75b > 30. This inequality will be true when Lin sells enough boxes to make more than $30 and false otherwise.