Question

The value of y is directly proportional to the value x. If x = 5 when y = 12 find x when y = 30.

Answer 1

x=12.5

Step-by-step explanation

Step 1

the proportion must be the same, then

Let

x1 represents the value for x when y= 30

`\begin{gathered} (x)/(y)=(5)/(12)=(x_1)/(30) \\ \text{then, we have} \\ (5)/(12)=(x_1)/(30) \end{gathered}`

Step 2

solve for x

`\begin{gathered} (5)/(12)=(x_1)/(30) \\ 30\cdot5=12\cdot x_1 \\ x_1=(30\cdot5)/(12) \\ x_1=(150)/(12) \\ x_{}=12.5 \end{gathered}`

I hope this helps you