y is inversely to x. If y=300 when x=4, find y when x=150
y = k/x
300 = k /4
so
k = 1200
y = 1200/150
y = 8
You can also solve it without finding the value of k.
Since xy is constant,
150y = 4*300
To find the value of y when x = 150, we can use the inverse proportion formula. Inverse proportion states that y is inversely proportional to x, which can be represented as y = k/x, where k is the constant of proportionality.
To find the value of k, we can use the given information that y is 300 when x is 4. Plugging these values into the formula:
300 = k/4
To solve for k, we can multiply both sides of the equation by 4:
300 * 4 = k * 4/4
1200 = k
Now, we have the value of k as 1200.
To find the value of y when x = 150, we can plug these values into the formula:
y = 1200/150
Calculating the value:
y = 8
Therefore, when x = 150, y will be equal to 8.
To find the value of y when x=150 using the inverse relationship between y and x, we can use the following steps:
1. Determine the inverse relationship equation: Inverse relationships can be written in the form y = k/x, where k is a constant. In this case, we know that y is inversely proportional to x, so we can write the equation as y = k/x.
2. Find the constant of proportionality: To find the constant k, we can use the given information that y=300 when x=4. Substituting these values into the equation, we have: 300 = k/4. Solving for k, we multiply both sides of the equation by 4: k = 300 * 4 = 1200.
3. Substitute the values of x and k into the equation: Now that we have the constant of proportionality, we can substitute it along with the given value of x=150 into the equation: y = 1200/150.
4. Simplify the equation: To find y, divide 1200 by 150: y = 8.
Therefore, when x=150, y is equal to 8.