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Answer :
Sure, let's analyze what the information given by [tex]\( f(31) = 62 \)[/tex] means.
1. Understanding the Function: The function [tex]\( f(x) \)[/tex] is defined as the amount of money Stanley collects from selling [tex]\( x \)[/tex] hot dogs.
2. Interpreting [tex]\( f(31) = 62 \)[/tex]:
- The notation [tex]\( f(31) = 62 \)[/tex] means that when we plug in the value [tex]\( x = 31 \)[/tex] into the function [tex]\( f \)[/tex], the output is 62.
- In the context of this problem, the variable [tex]\( x \)[/tex] represents the number of hot dogs sold.
- Therefore, [tex]\( f(31) = 62 \)[/tex] tells us that when Stanley sells 31 hot dogs, he collects [tex]$62.
3. Conclusion:
- The correct interpretation of \( f(31) = 62 \) is: "When Stanley sells 31 hot dogs, he collects $[/tex]62."
This interpretation is correct according to the information given about the function [tex]\( f(x) \)[/tex], which relates the number of hot dogs sold to the amount of money collected. Thus, the first statement, "When Stanley sells 31 hot dogs, he collects $62," is the accurate one.
1. Understanding the Function: The function [tex]\( f(x) \)[/tex] is defined as the amount of money Stanley collects from selling [tex]\( x \)[/tex] hot dogs.
2. Interpreting [tex]\( f(31) = 62 \)[/tex]:
- The notation [tex]\( f(31) = 62 \)[/tex] means that when we plug in the value [tex]\( x = 31 \)[/tex] into the function [tex]\( f \)[/tex], the output is 62.
- In the context of this problem, the variable [tex]\( x \)[/tex] represents the number of hot dogs sold.
- Therefore, [tex]\( f(31) = 62 \)[/tex] tells us that when Stanley sells 31 hot dogs, he collects [tex]$62.
3. Conclusion:
- The correct interpretation of \( f(31) = 62 \) is: "When Stanley sells 31 hot dogs, he collects $[/tex]62."
This interpretation is correct according to the information given about the function [tex]\( f(x) \)[/tex], which relates the number of hot dogs sold to the amount of money collected. Thus, the first statement, "When Stanley sells 31 hot dogs, he collects $62," is the accurate one.
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