Question

The amount of money raised, A, from selling tickets, t, can be represented by the function A(t) = 1.5t.

(a) Which set of numbers would be an appropriate domain, t, for this function?

(1) Whole numbers
(2) Integers
(3) All real numbers
(b) Explain your reasoning.

Answer 1

The appropriate domain for the function A(t) = 1.5t is the set of 3) all real numbers.

Step-by-step explanation:

The appropriate domain for the function A(t) = 1.5t is the set of all real numbers. This means that any real number can be inputted for the variable t, and the function will produce a corresponding output.

In the context of selling tickets, the domain of all real numbers makes sense because tickets can be sold in any quantity, including fractional or decimal amounts.

Using all real numbers as the domain allows for the flexibility to consider all possible ticket quantities and calculate the corresponding amount of money raised.