Final answer:
The product of a number y and 2 is expressed as 2y, and the quotient of y and 2 is y/2 or ½y. To simplify the expression 4 + 25 ÷ 10, following the order of operations, you get 6.5.
Step-by-step explanation:
To write a variable expression for the product of a number y and 2, you simply multiply y by 2. The expression is 2y.
To write a variable expression for the quotient of a number y and 2, you divide y by 2. The expression is y/2 or ½y.
Finally, to simplify the expression 4 + 25 ÷ 10, you must follow the order of operations, which means you perform division before adding. Therefore, you first divide 25 by 10, which gives you 2.5, and then you add this result to 4, which results in 6.5.