Question

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 =

Answer 1

x = 0.8

Explanation:

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Answer 2

value of x is,
`(4)/(5)`

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,
`y \propto x`

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;

`(15)/(3) = (3k)/(3)`

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;

`(4)/(5) = (5x)/(5)`

Simplify:

x =
`(4)/(5)`

therefore, value of x is;
`(4)/(5)`