Natalie works in a toy shop and earns $43 per day. She earns an extra $3 for each toy she sells. If Natalie wants to earn at least $70 per day, which inequality shows the minimum number of toys, n, that she should sell?
43 + 3n ≥ 70, so n ≥ 9
43 + 3n ≤ 70, so n ≤ 9
43 + 3n ≥ 70, so n ≥ 24
43 + 3n ≤ 70, so n ≤ 24
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OpenStudy (anonymous):
@VeritasVosLiberabit last one :P
OpenStudy (anonymous):
the inequality will need to be greater than or equal to 70 because that is the minimum required to earn 70$ per day
OpenStudy (anonymous):
ok so i can already remove the less then ones
OpenStudy (anonymous):
Correct. Now you need to analyze the difference between the two remaining A and C
OpenStudy (anonymous):
mmhh
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OpenStudy (anonymous):
The difference being the n values associated with the inequalities. This requires performing a bit of algebra by solving for n. Treat the inequality sign just like an equals sign.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so how would I get to the answer then?
OpenStudy (anonymous):
im like the worst with these types of questions sorry:/
OpenStudy (anonymous):
Solve the equation using algebra just like a normal algebraic equation.
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OpenStudy (anonymous):
i mean how would I do that im the worst with these questions...
OpenStudy (anonymous):
\[43+3n \ge 70\]
solve for n
OpenStudy (anonymous):
oh ok
OpenStudy (anonymous):
man i dont know :(
OpenStudy (anonymous):
@VeritasVosLiberabit i have no idea :/
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OpenStudy (anonymous):
here @KennyVanGemert solve this then:
43+3n=70
OpenStudy (anonymous):
hm
OpenStudy (anonymous):
Is it just the sign that is throwing you off?
OpenStudy (anonymous):
idk i think its trying to figure the N out
OpenStudy (anonymous):
and the sign
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OpenStudy (anonymous):
23?
OpenStudy (anonymous):
tell me where you are having difficulty. You have to isolate n on one side of the equation and then isolate the numbers on the otherside.
OpenStudy (anonymous):
can you solve this?
x+4=5?
OpenStudy (anonymous):
the n
OpenStudy (anonymous):
1+4=5
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OpenStudy (anonymous):
ah you are solving by inspection.
can you solve this one then?
2x+6= 34?
OpenStudy (anonymous):
i think so
OpenStudy (anonymous):
ok show me
OpenStudy (anonymous):
i think its 28 because 28+6=34
OpenStudy (anonymous):
Ok so you are still soving by inspection. You should be solving these algebraically
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OpenStudy (anonymous):
im the worst at these idk really how to do that
OpenStudy (anonymous):
I will show you
|dw:1421722196521:dw|
OpenStudy (anonymous):
hmm let me look at that a few more times hang on
OpenStudy (anonymous):
the key is to try an isolate the value of x by performing algebraic operations on both sides of the equation until you get a value.
OpenStudy (anonymous):
oh ok i think i get it let me try it with the question now
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OpenStudy (anonymous):
ok sure
OpenStudy (anonymous):
43+3n=70 just posting this so i can see it
OpenStudy (anonymous):
43+3n-3=67
OpenStudy (anonymous):
then u have the 43 and 67
OpenStudy (anonymous):
You want to try and isolate n. So what is the first step you should start with?
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OpenStudy (anonymous):
um subtracting the 3 from the 70
OpenStudy (anonymous):
the three is attached to 3n since n is mutiplied by 3 so that isn't where to start
OpenStudy (anonymous):
ohhh ok so u start with the 43
OpenStudy (anonymous):
correct
OpenStudy (anonymous):
ohhh ok let me try this now
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OpenStudy (anonymous):
so then you do 70-43 and get 27?
OpenStudy (anonymous):
perfect
OpenStudy (anonymous):
now you should have 3n=27. What next?
OpenStudy (anonymous):
umm lemme look
OpenStudy (anonymous):
u would do hm
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OpenStudy (anonymous):
hm?
OpenStudy (anonymous):
im trying to think xD
OpenStudy (anonymous):
would u do division? i dont think u do but would u?
OpenStudy (anonymous):
9!!!!!
OpenStudy (anonymous):
That's actually right. Why don't you think it's correct/
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OpenStudy (anonymous):
that's it
OpenStudy (anonymous):
i was dividing wrong
OpenStudy (anonymous):
soo it would be A
OpenStudy (anonymous):
there you go. So then the answer is clearly A
OpenStudy (anonymous):
well done
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OpenStudy (anonymous):
wow thankk u soooooooooooooooooooooo much if i had 100$ i would give it to u thank u soooooooooooooooooooooooooooooooooooooooooooooooo much