Final answer:
Rhonda sold approximately 340 books to receive a paycheck of $5,405, according to the given pay formula p = 306 + 15b.
Step-by-step explanation:
Rhonda's paycheck is determined by the formula p = 306 + 15b, where p represents her paycheck, and b represents the number of books she sells. To find out how many books Rhonda sold when she receives a paycheck for $5,405, we can substitute p with 5,405 and solve for b.
5405 = 306 + 15b
First, subtract 306 from both sides of the equation to isolate the term with b:
5405 - 306 = 15b
5099 = 15b
Next, divide both sides by 15 to solve for b:
b = 5099 / 15
b = 339.9333
Rhonda sold approximately 340 books, as she cannot sell a fraction of a book.