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, b, that he purchases in a year: C(b) = 2.75b + 10   What is the total cost if he purchases 13 books in a year? $ 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, b, that he purchases in a year: C(b) = 2.75b + 10   What is the total cost if he purchases 13 books in a year? $

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Answer:

If he purchases 13 books in a year, his total cost is $45.75

Step-by-step explanation:

1. $10.00 + (2.75 x 13)

2. $10.00 + (35.75)

3. $45.75

Answer:

The total cost of purchasing 13 books in a year is $45.75.

Step-by-step explanation:

Grant's total annual cost is a function of the number of books, b, that he purchases in a year.

The function is given by : [tex]C(b)=2.75b+10[/tex]

What is the total cost if he purchases 13 books in a year?

We will substitute b = 13 as b represents the number of books purchased.

[tex]C(13)=2.75(13)+10[/tex]

= [tex]35.75+10[/tex]

= $45.75

Therefore, the total cost of purchasing 13 books in a year is $45.75.