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Answer :
Final answer:
The total cost for all the residents at Bayside Residential Home to go on a trip is represented by the expression 54c, where c is the cost per resident. The correct answer is a) 54c.
Explanation:
To represent the total cost for all the residents at Bayside Residential Home, we should multiply the number of members in each group by the cost per resident and then add up the costs for all groups.
Since there are three groups with 14, 23, and 17 members, respectively, the expression would be the sum of each group's members multiplied by c, which represents the cost of the trip per resident.
Therefore, the total cost can be represented by the expression 14c + 23c + 17c.
Combining like terms gives us a simplified expression by adding the coefficients (14, 23, and 17) together: 54c. This represents the total cost for all of the residents to go on the trip.
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