if y varies directly with x find the constant of variation with x=4 and y=-24.
-6**
4
-96
6
if y varies directly with x and y=35 when x=5 find x when y=-7
1
7
-1**
-5
if y varies directly with x and y =-12 when x=6 find x when y=-4.
-2
3**
-3
2
can someone correct me pls
if y varies directly with x and y =-12 when x=6 find x when y=-4.
y=kx or k=y/x=-12/6=-2
y=kx or x=y/k=-4/-2=2
To find the constant of variation in a direct variation equation, you can use the formula y = kx, where k represents the constant of variation.
For the first question, if y varies directly with x and x = 4, and y = -24, we can substitute these values into the equation and solve for k:
-24 = k(4)
To solve for k, divide both sides of the equation by 4:
k = -6
Therefore, the constant of variation is -6.
For the second question, if y varies directly with x and y = 35 when x = 5, we can again use the formula y = kx:
35 = k(5)
To solve for k, divide both sides of the equation by 5:
k = 7
Therefore, the constant of variation is 7.
For the third question, if y varies directly with x and y = -12 when x = 6, we can again use the formula y = kx:
-12 = k(6)
To solve for k, divide both sides of the equation by 6:
k = -2
Therefore, the constant of variation is -2.
So the answers for the constant of variation are:
-6 for the first question,
7 for the second question, and
-2 for the third question.
To find the constant of variation in a direct variation equation, we can use the equation y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of variation.
In the first question, we are given that y varies directly with x. We are also given the values x = 4 and y = -24. Plugging these values into the equation, we get -24 = 4k. To solve for k, we divide both sides by 4, giving us -6 = k. Therefore, the constant of variation is -6.
In the second question, we are given that y varies directly with x and y = 35 when x = 5. Plugging these values into the equation, we get 35 = 5k. To solve for k, we divide both sides by 5, giving us 7 = k. Therefore, the constant of variation is 7.
In the third question, we are given that y varies directly with x and y = -12 when x = 6. Plugging these values into the equation, we get -12 = 6k. To solve for k, we divide both sides by 6, giving us -2 = k. Therefore, the constant of variation is -2.
To summarize:
- The constant of variation in the first question is -6.
- The constant of variation in the second question is 7.
- The constant of variation in the third question is -2.