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Mr. Wagner is smoking a turkey for Thanksgiving. The instructions for the smoker say that approximately f(x)f(x) hours of smoking time will be required for a turkey weighing xx pounds.\newlineWhat does f(20)=10f(20) = 10 tell you?\newlineChoices:\newline(A)It will take about 2020 hours to smoke a 1010-pound turkey.\newline(B)It will take about 1010 hours to smoke a 2020-pound turkey.

Full solution

Q. Mr. Wagner is smoking a turkey for Thanksgiving. The instructions for the smoker say that approximately f(x)f(x) hours of smoking time will be required for a turkey weighing xx pounds.\newlineWhat does f(20)=10f(20) = 10 tell you?\newlineChoices:\newline(A)It will take about 2020 hours to smoke a 1010-pound turkey.\newline(B)It will take about 1010 hours to smoke a 2020-pound turkey.
  1. Given Function Description: We are given a function f(x)f(x) that represents the hours of smoking time required for a turkey weighing xx pounds. The function value f(20)=10f(20) = 10 means that when xx is 2020 pounds, the smoking time is 1010 hours. We need to determine what this tells us about the smoking time for a turkey.
  2. Substitution and Analysis: By substituting xx with 2020 in the function f(x)f(x), we get f(20)=10f(20) = 10. This means that a turkey weighing 2020 pounds requires 1010 hours of smoking time according to the function provided.
  3. Interpreting Choices: Now we look at the choices given to determine which one correctly interprets the function value f(20)=10f(20) = 10. Choice (A) suggests that it takes about 2020 hours to smoke a 1010-pound turkey, which is the opposite of what f(20)=10f(20) = 10 indicates. Choice (B) suggests that it takes about 1010 hours to smoke a 2020-pound turkey, which matches the function value f(20)=10f(20) = 10.
  4. Final Interpretation: Therefore, the correct interpretation of f(20)=10f(20) = 10 is that it will take about 1010 hours to smoke a 2020-pound turkey.

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