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velikii [3]
3 years ago
8

Is y=7.5x a proportional relationship and why

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0
Direct Proportion functions look like this:

y=kx

'k' is the constant of proportionality and in this case its 7.5 or 15/2.

--------------------------------------------

When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5

Therefore y is directly proportional to x.

--------------------------------------

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>
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m represents the slope or the unit rate.

So, by comparison:

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This means that 87 represents the slope and the cost per tire purchased

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Answer:

A. y=2x-9

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Step-by-step explanation:

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Using m=2, substitute it and (4,-1) into the point slope form and simplify to find the y-intercept.

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B. Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=2x+3 is 2. The slope perpendicular to it is -1/2.

Using m=-1/2, substitute it and (4,-1) into the point slope form and simplify to find the y-intercept.

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