Q:

a group of friends ate dinner at the fair last night. the function g(x) represents the amount of money spent in dollars where x is the number of friends. does a possible solution of (12.5, $139.50) make sense for this function?

Accepted Solution

A:
Answer:No, (12.5, $139.5) is not a possible solution to the given because the input is not feasibleExplanation:We are given that g(x) represents the function used to calculate the amount to be paid where x is the number of friendsThis means that:The input of the function:It is the number of friendsSince we cannot have a fraction of a person nor a negative value of a person, therefore, the input must be a positive integerThe output of the function:It is the amount to be paidSince we cannot have a negative value for the amount to be paid, therefore, the output must be a positive real number (can be a positive fraction or a positive whole number)Now, for the given:(12.5, $139.5)The input is 12.5 which means that we have 12.5 friends. This is not feasibleTherefore, the given order pair is not a possible solution to the functionHope this helps :)