Answer :
Certainly! Let's break down the problem step by step to understand the given information.
1. Understanding the Function [tex]\( f(x) \)[/tex]:
- The function [tex]\( f(x) \)[/tex] represents the amount of money Tanner collects from selling [tex]\( x \)[/tex] hot dogs.
2. Interpreting [tex]\( f(31) = 62 \)[/tex]:
- The notation [tex]\( f(31) = 62 \)[/tex] tells us that when Tanner sells 31 hot dogs, the function [tex]\( f \)[/tex] outputs 62.
- Therefore, [tex]\( f(31) = 62 \)[/tex] means that Tanner collects [tex]$62 when he sells 31 hot dogs.
3. Choosing the Correct Interpretation:
- We need to choose between the given statements:
- "When Tanner sells 31 hot dogs, he collects $[/tex]62."
- "When Tanner sells hot dogs for 31 minutes, he collects [tex]$62."
- Since the function \( f(x) \) explicitly relates the number of hot dogs sold (\( x \)) to the money collected, the correct interpretation is:
- "When Tanner sells 31 hot dogs, he collects $[/tex]62."
In conclusion, the statement [tex]\( f(31) = 62 \)[/tex] means that when Tanner sells 31 hot dogs, he collects $62.
1. Understanding the Function [tex]\( f(x) \)[/tex]:
- The function [tex]\( f(x) \)[/tex] represents the amount of money Tanner collects from selling [tex]\( x \)[/tex] hot dogs.
2. Interpreting [tex]\( f(31) = 62 \)[/tex]:
- The notation [tex]\( f(31) = 62 \)[/tex] tells us that when Tanner sells 31 hot dogs, the function [tex]\( f \)[/tex] outputs 62.
- Therefore, [tex]\( f(31) = 62 \)[/tex] means that Tanner collects [tex]$62 when he sells 31 hot dogs.
3. Choosing the Correct Interpretation:
- We need to choose between the given statements:
- "When Tanner sells 31 hot dogs, he collects $[/tex]62."
- "When Tanner sells hot dogs for 31 minutes, he collects [tex]$62."
- Since the function \( f(x) \) explicitly relates the number of hot dogs sold (\( x \)) to the money collected, the correct interpretation is:
- "When Tanner sells 31 hot dogs, he collects $[/tex]62."
In conclusion, the statement [tex]\( f(31) = 62 \)[/tex] means that when Tanner sells 31 hot dogs, he collects $62.
