The cost of a group trip varies directly with the number of participants. If the cost is $1,200 for 24 participants, find the cost for 40 participants. $________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of direct variation and their ability to apply it to a real-world scenario. The key is to identify the constant of variation and use it to find the cost for a different number of participants.
Key Concept Explanation
Direct variation is a relationship where one variable is a constant multiple of the other. In this case, the cost varies directly with the number of participants , so . The constant of variation can be found by dividing the cost by the number of participants.
Step-by-step Solution
1. Identify the given values: when .
2. Find the constant of variation
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.