Question

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?

Answer 1

One week = 3 dolls
two weeks = 3 × 2 dolls
three weeks = 3 × 3 dolls
four weeks = 3 × 4 dolls
five weeks = 3 × 5 dolls

'w' weeks = 3 × w dolls
'w' weeks = 3w dolls

Initial number of dolls = 254 dolls

Number of dolls after 'w' weeks = 254 + 3w