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nignag [31]
1 year ago
12

What's the C.O.P? I don't know how to solve it

Mathematics
1 answer:
Vlad1618 [11]1 year ago
3 0

We will investigate how to determine the constant of proportionality for specific relationship between two variables.

We are given the respect proportionality between two variables ( x and y ) on a cartesian coordinate plane as such:

(\text{ x , y ) - > ( 16 , 216 )}

We are to determine the constant of proportionality ( k ) for the relationship expressed between the two variables.

A general proportional relation between ( x ) and ( y ) is expressed as follows:

y\text{ = k}\cdot x

Where,

k\colon\text{ Constant of proportionality}

We will use the given data point ( x , y ) and the general expression for direct proportions to determine the value of the constant of proportionality ( k ) as follows:

\begin{gathered} k\text{ = }\frac{y}{x} \\  \\ k\text{ = }\frac{216}{16} \\  \\ k\text{ = 13.5} \end{gathered}

We plugged in the respective quantities of the variables ( x ) and ( y ) and evaluated for the constant of proportionality ( k ):

COP\text{ = 13.5 }\ldots\text{ Answer}

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loris [4]

Answer:

A) 5 and B) 5

Step-by-step explanation:

A) 5x-12=13

        +12    +12 (add 12 to the 13)

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(then divide 25 by 5 which is 5 so the answer is 5)

B) 8(x+3)=64  (first use distributive property)

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(then divide 40 by 8 which is 5 so that is it!)

I believe this is correct, I hope this helps :D

   

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