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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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T is 13.9 years to the nearest 10th of a year

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In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

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A = P(1+ r/n) ^nt

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P is the initial amount invested which is $10,000 according to the question

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n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

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1.92 = (1+0.02375)^2t

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