Y varies direct proportion with x.if x=5 then y=12,thus find the value of y when x=7.5
y =kx , where k is a constant
given: x=5 , when y = 12
12 = 5k
k = 12/5
so y = (12/5)x
when x = 7.5
y = (12/5)(7.5) = 18
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Y varies direct proportion with x. If x=5 then y=12 thus find.the value of x when y=84
For doing homework done
X=ky
X=5 y=12
So
Y=when x=7.5
5/7.5×12/y
5y/5=93.6/5
Y=18.72
Y varies directly proportion with x. If x=5 then y=12 thus find: the value of x when y=84.
To solve this problem, we need to determine the constant of variation between y and x when x = 5.
In a direct variation equation, the general form is y = kx, where k represents the constant of variation.
Given that when x = 5, y = 12, we can substitute these values into the equation:
12 = 5k
Now, we can solve for k by dividing both sides of the equation by 5:
k = 12/5
k = 2.4
We have found that the constant of variation, k, is 2.4.
To find the value of y when x = 7.5, we can use the equation y = kx:
y = 2.4 * 7.5
Calculating the value, we find:
y = 18
Therefore, when x = 7.5, y = 18.