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laiz [17]
3 years ago
13

This graph shows a proportional relationship. What is the constant of proportionality? Enter your answer as a ratio in simplifie

d form in the box. A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 2 over 5 end fraction comma 1 over 2 end fraction right parenthesis. PLZ HELP :(
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0

Answer:

k=\frac{5}{4}

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have that

The line pass through the points

(0,0)\ and\ (\frac{2}{5},\frac{1}{2})  

<em>Find the value of the constant of proportionality k</em>

For x=2/5, y=1/2  

substitute

k=\frac{y}{x}

k=\frac{1}{2}:\frac{2}{5}=\frac{5}{4}

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