variables y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4? Enter your answer in the box. x =

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Answer:

value of x is, [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Proportional relationship states that a relationship is one in which two quantities vary directly with each other.

We say the variable y varies directly as x i.e, [tex]y \propto x[/tex]

then the equation is of the form: y = kx        ......[1] ;where k is the constant of proportionality.

Given y = 15 when x = 3

then by definition of proportional relationship we have;

y = kx

Substitute the value of x and y to solve for k;

15 = 3k

Divide both sides by 3 we get;

[tex]\frac{15}{3} = \frac{3k}{3}[/tex]

Simplify:

k = 5

To find the value of x when y = 4;

Substitute the value of y =4 and k = 5 in [1] to solve for x;

4 = 5x

Divide both sides by 5 we get;

[tex]\frac{4}{5} = \frac{5x}{5}[/tex]

Simplify:

x = [tex]\frac{4}{5}[/tex]

therefore, value of x is;  [tex]\frac{4}{5}[/tex]


Answer:

x = 0.8

Step-by-step explanation:

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