Answer :

Answer:

40 minutes

Explanation:

The ratio of the number of words to the number of minutes is constant. Then, If violet read 1250 words in 5 minutes, we can write the following equation:

[tex]\frac{1250\text{ words}}{5\text{ minutes}}=\frac{10000\text{ words}}{x\text{ minutes}}[/tex]

Where x is the number of minutes that she needs to read a 10000-word essay.

So, solving for x, we get:

[tex]\begin{gathered} \frac{1250}{5}=\frac{10000}{x} \\ 1250x=5(10000) \\ 1250x=50000 \\ \frac{1250x}{1250}=\frac{50000}{1250} \\ x=40\text{ minutes} \end{gathered}[/tex]

Then, she will take 40 minutes to read the essay.

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