suppose y varies directly with x. When x=3, y is 15. What is y when x is 10?
To find the value of y when x is 10, we can use the concept of direct variation. When two variables y and x are directly proportional, their relationship can be represented by the equation:
y = kx
Where k is the constant of variation. To solve for k, we can use the values given: when x is 3, y is 15. Substituting these values into the equation, we get:
15 = k * 3
To find k, we can divide both sides of the equation by 3:
k = 15 / 3
k = 5
Now that we have the value of k, we can use the equation to find y when x is 10:
y = 5 * 10
y = 50
Therefore, y is 50 when x is 10.
To determine the value of y when x is 10, we can use the fact that y varies directly with x. This means that there is a constant of proportionality, which we can represent as k.
The direct variation equation is given by y = kx. To find the value of k, we can use the information provided: when x = 3, y = 15. Plugging these values into the equation, we get:
15 = k * 3
To solve for k, divide both sides of the equation by 3:
k = 15 / 3
k = 5
Now that we have the value of k, we can use it to find the value of y when x = 10. Substituting x = 10 and k = 5 into the direct variation equation:
y = 5 * 10
y = 50
Therefore, when x is 10, y is 50.