To find the total cost for 7 muffins and 14 juice boxes, we first need to calculate the unit price for muffins and juice boxes.
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Calculating the unit price for muffins:
- Cost for 6 muffins = $7.74
- Unit price per muffin = \( \frac{7.74}{6} \)
- Unit price per muffin = $1.29
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Calculating the cost for 7 muffins:
- Cost for 7 muffins = \( 7 \times 1.29 \)
- Cost for 7 muffins = $9.03
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Calculating the unit price for juice boxes:
- Cost for 8 juice boxes = $5.52
- Unit price per juice box = \( \frac{5.52}{8} \)
- Unit price per juice box = $0.69
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Calculating the cost for 14 juice boxes:
- Cost for 14 juice boxes = \( 14 \times 0.69 \)
- Cost for 14 juice boxes = $9.66
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Calculating the total cost for 7 muffins and 14 juice boxes:
- Total cost = Cost for 7 muffins + Cost for 14 juice boxes
- Total cost = $9.03 + $9.66
- Total cost = $18.69
Therefore, the total cost for 7 muffins and 14 juice boxes is $18.69.
The correct answer is a. $18.69.