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Lizzie has already written 120 words of an essay. She writes 5 words per minute. Write an expression to represent the total number of words she has written after writing session today. Let [tex]$m$[/tex] represent the number of minutes passed during today session.
A. [tex]$120 m+5$[/tex]
B. [tex]$125 m$[/tex]
C. [tex]$120+5 m$[/tex]
D. [tex]$120+5$[/tex]
Answer (2)
Lizzie starts with 120 words.
She writes 5 words per minute, so in m minutes, she writes 5 m words.
The total number of words is the sum of the initial words and the words written during the session: 120 + 5 m .
The expression representing the total number of words is 120 + 5 m .
Explanation
Understanding the Problem Lizzie has already written 120 words. She writes 5 words per minute. We want to write an expression to represent the total number of words she has written after writing session today, where m represents the number of minutes passed during today's session.
Calculating Words Written During the Session The number of words Lizzie writes during today's session is 5 m , since she writes 5 words per minute and m represents the number of minutes.
Finding the Total Number of Words To find the total number of words Lizzie has written, we add the number of words she had already written (120) to the number of words she writes during today's session ( 5 m ). This gives us the expression 120 + 5 m .
Final Answer Therefore, the expression representing the total number of words Lizzie has written after today's session is 120 + 5 m .
Examples
Imagine you are tracking the progress of writing a book. You start with a certain number of words already written, and you write a fixed number of words each day. The expression 120 + 5 m is similar to tracking the total number of words in your book, where 120 is the initial number of words and 5 is the number of words you write each day. Understanding how to create such expressions helps you predict your progress and plan your writing schedule effectively.
The expression for the total number of words Lizzie has written after today's session is 120 + 5 m , where m is the number of minutes spent writing. This combines her initial word count with the words she writes in that time. Therefore, the correct multiple-choice option is C.
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