A miniature-doll collector has a total of 254 unique dolls. The collector can afford to add 3 unique dolls a week to the collection. Which algebraic expression represents the number of unique pieces the collector has at the end of w weeks?

would the answer be 254+3w?

Right! :-)

Yes, the algebraic expression that represents the number of unique dolls the collector has at the end of w weeks would be 254 + 3w.

To understand how we arrived at this expression, let's break it down step by step:

1. The number of unique dolls the collector starts with is 254.
2. Over the course of w weeks, the collector is able to add 3 unique dolls per week.
3. To calculate the total number of unique dolls after w weeks, we need to add the initial number of dolls (254) to the additional dolls obtained over the weeks (3w).

So, the expression 254 + 3w accurately captures the number of unique dolls the collector will have at the end of w weeks.