Since the value of y is directly proportional to the value of x, when y = 30, x is equal to 12.5.
Given the following data:
To find the value of x when y = 30:
Since the value of y varies directly with x.
This ultimately implies that, the value of y is directly proportional to the value of x.
Mathematically, this is represented as follows:
[tex]y\;\alpha \;x\\\\y=kx[/tex]
First of all, we would determine the constant of proportionality (k).
Substituting the given parameters into the formula, we have;
[tex]12=5k\\\\k=\frac{12}{5}[/tex]
Now, we can solve for x when y = 30:
[tex]x=\frac{y}{k} \\\\x=\frac{30}{\frac{12}{5} } \\\\x=\frac{5}{12} \times 30\\\\x=\frac{150}{12}[/tex]
x = 12.5
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