Bill's spelling list is 3 words long at the start of the school year. Each month, his teacher adds 8 words to the list.Let m represent the number of months since school began and w represent the total number of spelling words.This relationship can also be shown in a table. Complete the equation that represents the relationship between m and w.m w4 355 436 517 59w=Submit
Question
Bill's spelling list is 3 words long at the start of the school year. Each month, his teacher adds 8 words to the list.Let m represent the number of months since school began and w represent the total number of spelling words.This relationship can also be shown in a table. Complete the equation that represents the relationship between m and w.m w4 355 436 517 59w=Submit
Solution
The equation that represents the relationship between m (months) and w (words) is w = 3 + 8m.
Here's how we get that:
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We know that Bill starts with 3 words at the beginning of the school year (when m = 0). So, the equation has a constant, which is 3.
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Each month, 8 new words are added. This is the rate of change or the slope in the equation. So, for each month (m), we add 8 words.
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Therefore, the equation that represents this relationship is w = 3 + 8m.
This means that the total number of words (w) is equal to 3 (the starting number of words) plus 8 times the number of months (m) that have passed since the start of the school year.
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