Question

Tori is writing an essay for her English class. She already has 235 words, andon average writes 175 words every hour. The essay needs to be at least 1,600words. How many more hours should she plan to work on it? Write and solvean inequality for the situation.

Answer 1

Let be "h" the number of hours Tori should plan to work on it.

You know that she writes an average of 175 per hour. This can be represented with this expresion:

`175h`

You also know that there must be at least 1,600 words in the essay for her English class. Since she has 235 words written, you can set up the following inequality:

`235+175h\ge1,600`

The symbol used in the inequality means "Greater than or equal to".

In order to solve it, you can follow these steps:

1. Subtract 235 from both sides of the inequality:

`\begin{gathered} 235+175h-(235)\ge1,600-(235) \\ 175h\ge1,365 \end{gathered}`

2. Divide both sides of the inequality by 175:

`\begin{gathered} (175h)/(175)\ge(1,365)/(175) \\ \\ h\ge7.8 \end{gathered}`

The answer is:

`7.8\text{ }hours`