Eduardo is selling candy bars for a school fundraiser. He is given a box containing 80 candy bars to sell. Each bar sells for $3. The function F(b) represents the amount of money Eduardo raises from selling b candy bars.What is the domain of F(b)?Choices:(A) all whole numbers from 3 to 80(B) all whole numbers from 0 to 80(C) all whole numbers(D) all whole numbers from 0 to 3
Q. Eduardo is selling candy bars for a school fundraiser. He is given a box containing 80 candy bars to sell. Each bar sells for $3. The function F(b) represents the amount of money Eduardo raises from selling b candy bars.What is the domain of F(b)?Choices:(A) all whole numbers from 3 to 80(B) all whole numbers from 0 to 80(C) all whole numbers(D) all whole numbers from 0 to 3
Determine Possible Values of b: We need to determine the set of all possible values of b that Eduardo can sell. Since Eduardo cannot sell a negative number of candy bars, and he cannot sell more candy bars than he has, we must find the range of whole numbers that b can represent.
Find Domain of F(b): Eduardo starts with 80 candy bars and can sell anywhere from 0 to all 80 candy bars. Therefore, the domain of F(b) includes all whole numbers from 0 (if he sells none) to 80 (if he sells all of them).
Restrictions on Domain: The domain does not include any numbers greater than 80 because Eduardo only has 80 candy bars to sell. It also does not include any fractions or decimals because you cannot sell a fraction of a candy bar in this context.
Final Domain of F(b): The domain also does not include any negative numbers because it is not possible to sell a negative quantity of candy bars.
Final Domain of F(b): The domain also does not include any negative numbers because it is not possible to sell a negative quantity of candy bars.Based on the information given, the correct domain of F(b) is all whole numbers from 0 to 80, which corresponds to choice (B).
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