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ELEN [110]
3 years ago
14

if a point on the graph of a proportional relationship is located at 3,4, can you determine the constant of proportionality? exp

lain
Mathematics
1 answer:
Mashutka [201]3 years ago
7 0

The answer is: No, because we also need to know the type of proportionality


In mathematics, we talk about proportionality when two variables are related and this relationship is that there is a constant ratio between them. There are two types of proportionality.


1. Direct Proportionality:

If there are two variables x and y, we can write the relationship between them as follows:


y=kx


So, by substituting the point in this equation we have that the constant of proportionality is:


4=k(3) \\ \\ \therefore \boxed{k=\frac{4}{3}}


2. Inverse Proportionality:


In this case, the relationship is:


y=\frac{k}{x}


So, the constant of proportionality is:


4=\frac{k}{3} \\ \\ \therefore \boxed{k=12}


As you can see, we have found two different values of the constant of proportionality. So, it is necessary to know the type of proportionality.

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