Answer :
To understand what [tex]\( f(31) = 62 \)[/tex] tells us, we need to interpret the given function [tex]\( f(x) \)[/tex]. Here's a detailed explanation:
1. Understanding the function [tex]\( f(x) \)[/tex]:
- The function [tex]\( f(x) \)[/tex] represents the amount of money Edmond collects from selling [tex]\( x \)[/tex] hot dogs.
2. Analyzing [tex]\( f(31) = 62 \)[/tex]:
- The notation [tex]\( f(31) \)[/tex] means we are evaluating the function [tex]\( f \)[/tex] at [tex]\( x = 31 \)[/tex]. This tells us the amount of money collected when Edmond sells 31 hot dogs.
- The equation [tex]\( f(31) = 62 \)[/tex] tells us the value of the function at [tex]\( x = 31 \)[/tex]. In this case, [tex]\( f(31) \)[/tex] equals 62.
3. Interpreting the result:
- When Edmond sells 31 hot dogs, the amount of money he collects is [tex]\( \$62 \)[/tex].
Therefore, the correct interpretation of [tex]\( f(31) = 62 \)[/tex] is: When Edmond sells 31 hot dogs, he collects \$62.
The other interpretation (selling hot dogs for 31 minutes) is incorrect because the function [tex]\( f(x) \)[/tex] is defined in terms of the number of hot dogs sold, not the time spent selling them.
1. Understanding the function [tex]\( f(x) \)[/tex]:
- The function [tex]\( f(x) \)[/tex] represents the amount of money Edmond collects from selling [tex]\( x \)[/tex] hot dogs.
2. Analyzing [tex]\( f(31) = 62 \)[/tex]:
- The notation [tex]\( f(31) \)[/tex] means we are evaluating the function [tex]\( f \)[/tex] at [tex]\( x = 31 \)[/tex]. This tells us the amount of money collected when Edmond sells 31 hot dogs.
- The equation [tex]\( f(31) = 62 \)[/tex] tells us the value of the function at [tex]\( x = 31 \)[/tex]. In this case, [tex]\( f(31) \)[/tex] equals 62.
3. Interpreting the result:
- When Edmond sells 31 hot dogs, the amount of money he collects is [tex]\( \$62 \)[/tex].
Therefore, the correct interpretation of [tex]\( f(31) = 62 \)[/tex] is: When Edmond sells 31 hot dogs, he collects \$62.
The other interpretation (selling hot dogs for 31 minutes) is incorrect because the function [tex]\( f(x) \)[/tex] is defined in terms of the number of hot dogs sold, not the time spent selling them.
