Final answer:
Carol has 9 more cakes than Joseph, who has x cakes. The algebraic expression for Carol's cakes is x + 9.
Step-by-step explanation:
The question asks us to write an algebraic expression for the number of cakes Carol has, knowing that she has 9 more cakes than Joseph and Joseph has x cakes.
To write this expression, we simply take the number of cakes that Joseph has, represented by x, and add 9 to it. Therefore, the algebraic expression for the number of cakes Carol has is x + 9.