find the variation constant and an equation of variation where y varies directly as x and y=35 when x=5 the variation constant is k=
This is easy 35 would go into 5 7 times so the answer would be variation constant is 7. this is a two part qustion the 2nd part is the same as the first but u add the x its called the equation of variation.
equation of variation is 7x.
"y varies directly as x " --- y = kx , where k is a constant
sub in the given: x=5, y = 35
35 = 5k
k = 7
so y = 7x
To find the variation constant (k) and an equation of variation where y varies directly as x, we can use the formula for direct variation:
y = kx
Given that y = 35 when x = 5, we can substitute these values into the equation and solve for k:
35 = k * 5
To find the value of k, we need to divide both sides of the equation by 5:
35/5 = k
k = 7
Therefore, the variation constant is k = 7.
With this value of k, we can rewrite the equation of variation as:
y = 7x