A. Our required equation connecting y and x would be y = 5x.
B. Value of y when x=12 is 60.
Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given
y is directly proportional to x. When y=30, x=6
A. As there is direct proportion between x and y.
So, it becomes,
[tex]\frac{y}{x} =k[/tex]
[tex]\frac{30}{6} =k[/tex]
k = 5
So, the equation connecting y and x would be y = kx
When we put the value of k, we get that y = 5x.
Hence, our required equation would be y = 5x.
B. Value of y when x = 12
y = 5x
Substitute x = 12 in above equation
y = 5(12)
y = 60
Hence, Value of y when x=12 is 60.
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