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shutvik [7]
2 years ago
5

This graph shows a proportional relationship.

Mathematics
2 answers:
iogann1982 [59]2 years ago
6 0

Answer:

The constant of proportionality is 0.3

Step-by-step explanation:

» The graph shows a direct proportiinality.

{ \rm{y \:   \alpha \: x}}

» Therefore, input the constant;

{ \rm{y = kx}}

» When x is 5, y is 1.5:

{ \tt{1.5 = (k \times 5)}} \\ { \rm{k = 0.3}}

Gnom [1K]2 years ago
3 0

Answer:

0.3

Step-by-step explanation:

On a graph, proportional relationships are straight lines that extend through the origin.  

Slope of a graph = constant of proportionality of the equation

Let (5, 1.5) = (x_1,y_1)

Let (20, 6) = (x_2,y_2)

Formula of a slope: m=\dfrac{y_2-y_1}{x_2-x_1}

\implies m=\dfrac{6-1.5}{20-5}=0.3

So as the slope = 0.3, the constant of proportionality = 0.3

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<h3>How to solve for (a) and (b)?</h3>

To solve for a, we make use of the function f(x).

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2     a

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x    f(x)

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Read more about functions at:

brainly.com/question/13153717

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