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VARVARA [1.3K]
3 years ago
14

Which explains whether or not the function represents a direct variation?

Mathematics
2 answers:
s2008m [1.1K]3 years ago
4 0

Answer:

The function represents a direct variation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m

Let

A(0,0) ------> the line passes through the origin

B(2,10)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=10/2=5

C(4,20)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=20/4=5

D(6,30)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=30/6=5

E(8,40)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=40/8=5

The value of k is equal in all the points of the table and the line passes through the origin

therefore

The function represents a direct variation

the equation of the direct variation is equal to

f(x)=5x

musickatia [10]3 years ago
3 0
Direct variation is when x increases, y increases, when x decreases, y decresaes

notice that the time (x) increases
if the cost collumn (y) incresaes as well, then it is direct

it does go up

it is direct because x and y both increase and decrease together
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