A tour company charges $25 to hire a tour director plus $75 per tour member. Write an equation, in function notation, to represent this situation and state a reasonable domain and range. Equation: Domain: Range

f(x) = $25 + $75x.

Domain: positive whole numbers.

Range: f(x) ≥ $25

Step-by-step explanation:

Let x denote the total number of tour member, charging $75 per tour member implies $75x.

Therefore, the tour company charges:

f(x) = $25 + $75x

The Domain of the function, which is the possible value of x, is the set of all positive whole numbers. You can't have negative numbers because no such thing as "negative member," also you can't have fractions because no such thing is "2/3 member (for instance)."

The range, which are all the values of f(x) after putting a particular value from the domain in f(x), is the numbers from 25 and above. That is f(x) ≥ 25. This is because, if there are no tour members, they pay for hiring director only which is $25, if we have one member, the money increases to $100 and so on. These values are from 25 upwards.