Question

PLEASE HELP ME THIS IS A MATTER OF PASS OR FAIL THE WHOLE GRADE I NEED HELP WITH MORE THAN ONE

Chris types at an average speed of 45 words per minute. He has already typed 1,750 words of his final paper. The paper has to be more than 4,000 words. Which of the following inequalities could be used to solve for x, the number of minutes it will take Chris to type his paper?

Answer 1

1750 + 45n > 4000

4n > 2250

n > 50

Explanation:

Chris types at an average speed of 45 words per minute.

So in n minutes, he types 45n words

He has already typed 1,750 words of his final paper.

So after n more minutes, he types a total of

1750 + 45n words

The paper has to be more than 4,000 words.

1750 + 45n > 4000

4n > 2250

n > 50

Answer 2

45x + 1750 > 4000

Explanation:

We know that Chris has already typed 1750 words, so that can be considered the "initial condition". His speed is 45 words per minute, so if we multiply 45 by x, we will get the total number of words he typed in x minutes.

Adding that total number of words typed in x minutes to the initial 1750, we want to make sure this sum is greater than 4000 because the problem says that the paper "has to be more than 4000 words". So, we use the ">" symbol:

45 * x + 1750 > 4000

45x + 1750 > 4000

The answer is thus 45x + 1750 > 4000.