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Mathematics 18 Online
OpenStudy (anonymous):

Lucy's goal for her cycling class at the gym is to burn 450 calories in one hour. The number of calories (c) she actually burns in one hour varies no more than 45 calories. Which inequality below represents this scenario? A. |c - 450| < 45 B. |c + 450| > 45 C. |c - 45| < 450 D. |c - 45| > 450

OpenStudy (teddyiswatshecallsme):

B. I think.

OpenStudy (mathstudent55):

You are missing all the inequality symbols.

OpenStudy (anonymous):

oh oops lol let me fix that

OpenStudy (anonymous):

there... they all should have lines under them

OpenStudy (anonymous):

I think its B.

OpenStudy (anonymous):

ok thnx guys :)

OpenStudy (mathstudent55):

Wait.

OpenStudy (mathstudent55):

The variation is at most 45. Let's she burned 30 calories more than 450. She burned 480. What is the variation from 480 to 450?

OpenStudy (anonymous):

im in a hurry cuz my mom is being a pain in the butt can you just pls give me the answer?

OpenStudy (mathstudent55):

In this case the variation is 480 - 450 = 30 Notice you find the variation by subtracting, not adding. Choice B has an addition inside the absolute value, so it is not the answer. Also, notice that to find the variation, you need to subtract c - 450 and take the absolute value.

OpenStudy (mathstudent55):

That points to this: \(|c - 450| \le 45\)

OpenStudy (anonymous):

ok so whats the answer?

OpenStudy (mathstudent55):

see above

OpenStudy (anonymous):

thnx :)

OpenStudy (mathstudent55):

yw

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