carlos needs 30 compasses for the students attending his summer science camp. he has a budget of $50. he…

carlos needs 30 compasses for the students attending his summer science camp. he has a budget of $50. he wants to buy compasses that have at least a 4 - star review. which compass should carlos order?\n\n|compass|quantity|cost|rating|\n|----|----|----|----|\n|a|9|$12|4.5 stars|\n|b|20|$6|3.5 stars|\n|c|1|$1.85|4.8 stars|\n|d|10|$17.50|4.4 stars|

carlos needs 30 compasses for the students attending his summer science camp. he has a budget of $50. he wants to buy compasses that have at least a 4 - star review. which compass should carlos order?\n\n|compass|quantity|cost|rating|\n|----|----|----|----|\n|a|9|$12|4.5 stars|\n|b|20|$6|3.5 stars|\n|c|1|$1.85|4.8 stars|\n|d|10|$17.50|4.4 stars|

Answer

Explanation:

Step1: Eliminate non - eligible compass

Compass B has a 3.5 - star rating, so it is eliminated as Carlos wants at least 4 - star rating.

Step2: Calculate number of packs and cost for Compass A

Number of packs of Compass A needed: $\lceil\frac{30}{9}\rceil = 4$ (ceiling function to ensure enough compasses). Total cost for Compass A: $4\times12=$48$.

Step3: Calculate number of packs and cost for Compass C

Number of packs of Compass C needed: $30$ (since 1 compass per pack). Total cost for Compass C: $30\times1.85 = $55.5$ which exceeds the budget.

Step4: Calculate number of packs and cost for Compass D

Number of packs of Compass D needed: $\lceil\frac{30}{10}\rceil= 3$. Total cost for Compass D: $3\times17.5=$52.5$ which exceeds the budget.

Answer:

A. Compass A