Final answer:
The expression for the cost of belonging to the book club for n months is 5n + 10. The cost of belonging to the club for 8 months is $50.
Step-by-step explanation:
The expression for the cost of belonging to the book club for n months is given by 5n + 10. This is because Carly pays $5 for each new book each month, so the total cost for n months would be 5n. Additionally, Carly paid $10 to sign up for the club initially, so we add 10 to the expression.
To find the cost of belonging to the club for 8 months, we substitute n with 8 in the expression.
When n = 8, the cost is 5(8) + 10 = 40 + 10 = 50. Therefore, the cost of belonging to the club for 8 months is $50.