To determine if the solution \((12.5, \$139.50)\) makes sense for the function \( g(x) \) which represents the amount of money spent in dollars where \( x \) is the number of friends, we need to analyze both the input and the output.
1. **Input Feasibility:**
- The input \( x = 12.5 \) represents the number of friends. In practical terms, the number of friends (people) should be a whole number (integer) because you can't have half a person.
- Since 12.5 is not a whole number, it is not a feasible input for the function in this context.
2. **Output Feasibility:**
- The output \( \$139.50 \) represents the amount of money spent and it is within a reasonable range for a group of friends eating dinner. There's nothing inherently wrong with this amount.
Given this analysis, the input (number of friends as 12.5) is not feasible even though the output (amount of money spent) is realistic.
Therefore, the correct answer is:
**No. The input is not feasible.**
A group of friends ate dinner at the fair last night. The function g(x) represents the amount of money spent in dollars, where x is the number of friends. Does a possible solution of (12.5, $139.50) make sense for this function? Explain your answer.
Yes. The input and output are both feasible.
No. Neither the input nor output is feasible.
No. The input is not feasible.
No. The output is not feasible.
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