Question

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? Explain your answer.
Yes. The input and output are both feasible.
No. Neither the input nor output is feasible.
No. The input is not feasible.
No. The output is not feasible.

Answer 1

Answer:

No. The input is not feasible ⇒ 3rd answer

Step-by-step explanation:

Lets explain how to solve the problem

- Function is a relation between input and output

- In the function f(x) = y, the input is x and the output is y

- 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

- That means x represents the number of people who ate the dinner

  and g(x) represents the amount of money they paid  

- So x is the input of the function and y is the output of the function

- We need to know does the ordered pair (12.5, $139.50) a possible

  solution for g(x)

∵ x represents the number of people

∴ x must be a whole number

∵ The x-coordinate of the solution is 12.5

∵ 12.5 is not a whole number

∴ The x-coordinate of the solution is impossible value

∴ The input is not feasible

∵ y represents the amount of money

∵ The amount of money can be a number with decimal

∵ The y-coordinate of the ordered pair is $139.50

∴ The output could be the amount of money they paid

* The answer is ⇒ No. The input is not feasible