Direct Proportion functions look like this:
y=kx
'k' is the constant of proportionality and in this case its 7.5 or 15/2.
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When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5
Therefore y is directly proportional to x.
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DIRECT PROPORTION EXPLAINED:
Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C<span>∝f, therefore C=kf, but as k=7.5, C=7.5f.
INVERSE PROPORTION EXPLAINED:
If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.
T=time to set up a wall
b=bricklayer(s)
Therefore T</span><span>∝1/b, and T=k/b. In this case k=8 so T=8/b.
When b=1, T=8.
When b=2, T=4.
We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.</span>
Answer:
B:yes because the paper slips were equally size and the bag was shaken
Step-by-step explanation:
Taking the test
I'm assuming this is a yearly interest.
2500*.04=100
7500*.05=375
so that would be $475 earned from interest
Answer:
The answer is "0.0764"
Step-by-step explanation:
Please find the complete question in the attached file.
![\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\](https://tex.z-dn.net/?f=%5Cto%20%5Cmu%20%3D%20%5C%24%20%5C%204064%5C%5C%5C%5C%5Cto%20%5Csigma%20%3D%20%5C%24%20%5C%20460%20%5C%5C%5C%5C%5Cto%20%5Csigma%20%5Cbar%7Bx%7D%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C)
![= \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B460%7D%7B%5Csqrt%7B21%7D%7D%5C%5C%5C%5C%20%3D%20%5Cfrac%7B460%7D%7B4.58257569%7D%5C%5C%5C%5C%3D100.3802)
![\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\](https://tex.z-dn.net/?f=%5Cto%20P%28z%20%3C%20-1.43%29%20%3D%200.0764%20%5C%5C%5C%5C%5Cto%20P%28%5Cbar%7Bx%7D%3C%20%5C%24%20%5C%203920%29%20%3D%200.0764%5C%5C%5C%5C)
Answer:
what is the lesson? need more details