Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?
20 ≤ x ≤ 400
40 ≤ x ≤ 100
50 ≤ x ≤ 400
50 ≤ x ≤ 100
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OpenStudy (anonymous):
please help ill give u medal
OpenStudy (callisto):
If each book is sold at $8, and you sell x books, how much will you get?
OpenStudy (anonymous):
8x=?
OpenStudy (callisto):
Do you mean you'll get $(8x) ?
OpenStudy (anonymous):
Yes
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OpenStudy (callisto):
Then you're right.
Now, the money you earn has to be AT LEAST $400, and you'll earn $(8x) by selling x books.
Can you establish an inequality using the above information?
OpenStudy (anonymous):
I dont know how to
OpenStudy (anonymous):
Wait so now that i think about it the answer would be C right? Please just tell me if im right!
OpenStudy (anonymous):
@Callisto ??
OpenStudy (callisto):
No, you're not.
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OpenStudy (callisto):
Symbol for "at least": \(\ge\)
Money you earn: 8x
at least: ≥
400: 400
Now, write an inequality for "monet you earn is at least $400"
OpenStudy (anonymous):
8x≥400
OpenStudy (callisto):
Yes. Now, divide both sides by 8, what do you get?
OpenStudy (anonymous):
X≥50
OpenStudy (callisto):
Yes.
Given in the question, we only have 100 books. So, the book you sell can't be greater than 100.
Can you write the whole inequality now?
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