Question

Rebecca has 30 paintings to sell. The amount of money Rebecca makes from selling x paintings is represented by a function.

f(x)=25xf(x)=25x

What is the practical domain of the function if Rebecca sells 30 paintings?

1. All real numbers
2. All integers from 0 to 30, inclusive
3. All multiples of 25 between 0 and 750, inclusive
4. All integers from 0 to 25, inclusive

Answer 1

Answer: all integers from 0 to 30, inclusive.

Remember that domain is the set of possible input values, i.e. x-values or the number of paintings that may be sold: 0, 1, 2, 3, 4, 5, .... 30.

Answer 2

Option 2 is correct.

Explanation:

Rebecca has 30 paintings to sell.

The amount of money Rebecca makes from selling x paintings is represented by a function.

`f(x)=25x`

where, x is number of painting to sell.

As we are given total number of painting for sell is 30.

Domain: It is input value of x where function and situation defined.

Minimum number of painting she could sell be 0 and Maximum number of painting she could sell be 30.

Domain: 0≤x≤30

Hence, All integers from 0 to 30, inclusive.