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:
16x+36
Step-by-step explanation:
4(4x + 9)
16x+36
Given:
The equation is:
To find:
The solution for the given equation.
Solution:
We have,
It can be written as:
Taking square root on both sides, we get
[Radius cannot be negative]
Therefore, the value of r is about 6.36 cm.
Answer:
-11
Step-by-step explanation:
We call a full circle or a full rotation 360 degrees. There's nothing magic
or mathematical about that number. It was invented by people. It could
have been any number they wanted.
But it was a great choice because it has a lot of factors. With 360 degrees
in a full rotation, you can split up a full rotation into 2, 3, 4, 5, 6, 8, 9, 10, 12,
15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, or 180 equal pieces, without
ever slicing up a degree !
