grant is a member of a book club. he pays a $10 yearly membership fee and can purchase books through the…

grant is a member of a book club. he pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. his total annual cost is a function of the number of books that he purchases in a year. let b represent the number of books he purchases in a year. which function, c(b), represents his yearly cost?\nc(b)=10b + 2.75\nc(b)=2.75b + 10\nc(b)=12.75b\nc(b)=2.75b + 20

grant is a member of a book club. he pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. his total annual cost is a function of the number of books that he purchases in a year. let b represent the number of books he purchases in a year. which function, c(b), represents his yearly cost?\nc(b)=10b + 2.75\nc(b)=2.75b + 10\nc(b)=12.75b\nc(b)=2.75b + 20

Answer

Explanation:

Step1: Analyze the cost components

The total cost (C(b)) has two parts: a fixed membership fee and a variable cost per book. The fixed fee is $10 (yearly membership fee). The variable cost is $2.75 per book. If (b) is the number of books, the variable cost is (2.75b).

Step2: Form the cost function

Using the formula for a linear function (y = mx + c) (where (m) is the slope - here the cost per book, and (c) is the y - intercept - here the membership fee), we get (C(b)=2.75b + 10).

Answer:

(C(b)=2.75b + 10) (the third option)