Question

Maria has already written Ž of her 1,000 word essay. If she continues writing at the same pace of 63 words per minute, which

expression shows the amount of time it will take her to write the rest of the essay?
12

Answer 1

`T=(1000-z)/(63) \,\,\,\,or\,\,\,\,equivalently\,\,\,\,T=-(1)/(63) z+(1000)/(63)`

Explanation:

If Maria has written already "z" words of her 1000 words essay, so the number of words she has left to do is "1000-z". Then the amount of time "T" that is left for her, is the quotient between 1000-z over 63 words/min (her writing rate).

We can then write that the time (T) it will take her to write the rest of the essay is:

`T=(1000-z)/(63) \\T=-(1)/(63) z+(1000)/(63)`

where we express the resultant function in slope-intercept form.