Final answer:
The correct equation expressing the total number of words Rayma writes after m minutes is w = 45 + 18m, which represents the initial 45 words plus 18 words for each minute of writing.
Step-by-step explanation:
The student has asked for the correct equation that expresses the total words w written by Rayma after m minutes, given that she has already written 45 words and continues to write at a rate of 18 words per minute. The correct equation is w = 45 + 18m. This equation indicates that for every additional minute she writes, she adds another 18 words to her initial count of 45 words.
To explain step by step, let's start with the initial number of words, 45. As Rayma writes more words every minute, we need to add 18 words to her total for each minute that passes. If m represents the number of minutes spent writing, then after one minute she will have written 45 words + 18 words. After two minutes, she will have written 45 words + (18 words × 2), and so on. Thus, the equation w = 45 + 18m encapsulates this relationship.