Question

The cost of airing a commercial on television is modeled by the function C(n)=100n+900, where 'n' is the number of times the commercial is aired. Based on this model, which statement is true?

A The commercial costs $0 to produce and $100 per airing up to $900.
B The commercial costs $100 to produce and $900 each time it is aired.
C The commercial costs $900 to produce and $100 each time it is aired.
D The commercial costs $1000 to produce and can air an unlimited number of times.

Answer 1

The correct statement based on the function C(n) = 100n + 900 is that the commercial costs $900 to produce and $100 each time it is aired.

Step-by-step explanation:

The cost of airing a commercial on television is modeled by the function C(n) = 100n + 900, where 'n' is the number of times the commercial is aired. Analyzing this function, it is clear that the term '900' represents a fixed cost, which is the initial production cost of the commercial, and the '100n' term represents the variable cost, which is the cost per airing of the commercial. Therefore, for each additional time the commercial is aired, it costs an additional $100.

Based on this, the correct statement is:

• C: The commercial costs $900 to produce and $100 each time it is aired.

Answer 2

Answer: The commercial costs $900 to produce and $110 each time it is aired.

Step-by-step explanation: