Question

abdul is a software salesman. let ( p ) be abduls total pay (in dollars). let ( n ) be the number of copies of history is fun he has sold. abdul has 140 copies available to sell. suppose that ( p = 30n + 4200 ) gives ( p ) as a function of ( n ) for these available copies.
identify the correct description of the values in both the domain and range of the function. then, for each, choose the most appropriate set of values.

description of values	domain:	range:
set of values	select	select

Explanation:

Step1: Define domain of the function

The domain is the set of all possible values for the independent variable $N$ (number of copies sold). Abdul can sell 0 to 140 copies (inclusive, since you can't sell a negative or fractional copy here).
Domain set: $\{0, 1, 2, ..., 140\}$

Step2: Define range of the function

The range is the set of all possible values for the dependent variable $P$ (total pay). Use $P=30N+4200$ to find the minimum and maximum values:

• Minimum $P$ (when $N=0$): $P=30(0)+4200=4200$
• Maximum $P$ (when $N=140$): $P=30(140)+4200=4200+4200=8400$

All values of $P$ are $4200, 4230, 4260, ..., 8400$ (increasing by 30 for each additional copy sold).
Range set: $\{4200, 4230, 4260, ..., 8400\}$

Answer:

Domain:

Description of Values: Number of copies Abdul has sold
Set of Values: $\{0, 1, 2, ..., 140\}$

Range:

Description of Values: Abdul's total pay (in dollars)
Set of Values: $\{4200, 4230, 4260, ..., 8400\}$