Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Mr. Brennan 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. Brennan 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. Understand function notation: Understand the function notation f(x)f(x) and what f(20)=10f(20) = 10 represents.\newlineThe function f(x)f(x) gives the hours of smoking time required for a turkey weighing xx pounds. The notation f(20)=10f(20) = 10 means that for a turkey weighing 2020 pounds, the smoking time required is 1010 hours.
  2. Match given information: Match the given information to the choices provided.\newlineWe have established that f(20)=10f(20) = 10 means a 2020-pound turkey requires 1010 hours of smoking time. Now we compare this to the choices given:\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.\newlineChoice (A) is incorrect because it suggests that the weight of the turkey is 1010 pounds and the smoking time is 2020 hours, which is the opposite of what f(20)=10f(20) = 10 indicates.\newlineChoice (B) is correct because it correctly states that a 2020-pound turkey will take about 1010 hours to smoke, which aligns with the function notation f(20)=10f(20) = 10.

More problems from Volume of cubes and rectangular prisms: word problems