Question

martina is a software saleswoman. let ( p ) be martina’s total pay (in dollars). let ( n ) be the number of copies of history is fun she has sold. martina has 110 copies available to sell. suppose that ( p = 40n + 2400 ) gives ( p ) as a function of ( n ). 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	set of values
range:	( \bigcirc ) number of copies martina has sold ( \bigcirc ) martina’s total pay (in dollars)	select ( \boldsymbol{searrow} )

Explanation:

Step1: Define domain of $N$

The domain represents the possible values of the input variable $N$, which is the number of copies sold. Martina can sell 0 to 110 copies (inclusive, since you can't sell a negative or fractional number of copies here).

Step2: Define range of $P$

The range represents the possible values of the output variable $P$ (total pay). Substitute the minimum and maximum $N$ into $P=40N+2400$:

• Minimum $P$ (when $N=0$): $P=40(0)+2400=2400$
• Maximum $P$ (when $N=110$): $P=40(110)+2400=4400+2400=6800$

The range is all pay values from 2400 to 6800 dollars, corresponding to valid $N$ values.

Answer:

Description of Values	Set of Values
Range: <br>$\boldsymbol{\text{Martina's total pay (in dollars)}}$	Select values: $2400, 2440, 2480, ..., 6800$