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26 votes
the variables y and x have a proportional relationship and y=9 when x =2. what is the value of y when x=3

User Nofi
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1 Answer

10 votes
10 votes

SOLUTION:

Step 1:

In this question, we have the following:

The variables y and x have a proportional relationship and y=9 when x =2.

What is the value of y when x=3​?

Step 2:

Mathematically, we can see that:


\begin{gathered} y\text{ }\alpha\text{ x } \\ y\text{ = kx ( where k is a constant)} \\ 9\text{ = k ( 2)} \end{gathered}

Divide both sides by 2, we have that:


k\text{ = }(9)/(2)

Hence, the relationship between x and y =


y\text{ = }(9)/(2)\text{ x}

Step 3:

Then, we need to find the value of y when x = 3 , we have that:


\begin{gathered} y\text{ = }(9)/(2)(3) \\ y\text{ = }\frac{9\text{ x 3}}{2} \\ y\text{ = }(27)/(2) \end{gathered}

CONCLUSION:

The value of y when x = 3 is :


y\text{ =}(27)/(2)

User BobSilverberg
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