Answer:
1.The function P(s) is given by P(s)=3s, where s is the number of short stories read
2.Substituting s=0 to s=18 gives P(0)=0 to P(18)=54
3.The range of P(s) is all multiples of 3 from 0 to 54
Step-by-step explanation:
Answer:
A) All multiples of 3 from 0 to 54.
Step-by-step explanation:
We are told that the function P(s) represents the total number of paragraphs Danielle must write, after having read s short stories.
For each short story Danielle reads, she must write a 3-paragraph summary. Therefore, the total number of paragraphs she writes is 3 times the number of short stories she reads:
[tex]P(s) = 3s[/tex]
The minimum value of s is 0, indicating that Danielle has not read any short stories and therefore hasn't written any summaries. The maximum value of s is 18, representing all the short stories in the collection. Therefore, the domain of the function is all positive integers from zero to 18.
As P(s) is always three times s, the range consists of multiples of 3 between zero and 54, since the maximum number of paragraphs she can write is 18 × 3 = 54.
Therefore, the range of P(s) is: