The value of y is directly proportional to the value of x. If y=96 when x=60, what is the value of y when x=40?
To find the value of y when x=40, we can use the concept of direct proportion.
Since y is directly proportional to x, we can write the equation as y = kx, where k is the constant of proportionality.
To find the value of k, we can use the first set of values given: y=96 when x=60.
Plugging these values into the equation, we get 96 = k * 60. Solving for k, we divide both sides by 60: k = 96/60 = 1.6.
Now that we know the value of k, we can use it to find the value of y when x=40. Plugging x=40 and k=1.6 into the equation, we get y = 1.6 * 40 = 64.
Therefore, when x=40, the value of y is 64.
To find the value of y when x=40, we can use the concept of direct proportionality.
We are given that the value of y is directly proportional to the value of x. This can be represented mathematically as:
y = kx
Where k is the constant of proportionality.
To find the value of k, we can use the given information. When y=96 and x=60, we can substitute these values into the equation and solve for k:
96 = k * 60
Dividing both sides of the equation by 60, we get:
k = 96 / 60
Simplifying, we find:
k = 1.6
Now that we have the value of k, we can substitute it back into the equation to find the value of y when x=40:
y = 1.6 * 40
Multiplying, we get:
y = 64
Therefore, the value of y when x=40 is 64.
To find the value of y when x = 40 in a direct proportion, we need to determine the proportionality constant.
In a direct proportion, the value of one variable is directly proportional to the value of the other variable. This relationship can be represented by the equation y = kx, where k is the proportionality constant.
To find k, we can use the given information: y = 96 when x = 60.
Plug these values into the equation: 96 = k * 60.
Now, solve for k: divide both sides of the equation by 60: k = 96 / 60 = 1.6.
We have found the proportionality constant, which is k = 1.6.
Now, to find the value of y when x = 40, we can use the equation y = kx.
Plug in the values: y = 1.6 * 40.
Now, solve for y: y = 64.
Therefore, when x = 40, the value of y would be 64.