Sagot :
When two variable quantities have a constant (unchanged) ratio, their relationship is called a direct variation. It is said that one variable "varies directly" as the other.
The formula for direct variation is y = kx, where k is the constant of variation. "y varies directly as x"
For example:
The weekly salary of a girl earns, S, varies directly as the number of hours, H, which she works. Express this relation as a formula.
The answer is: S = hk or \frac{s}{h} = k[/tex]
The formula for direct variation is y = kx, where k is the constant of variation. "y varies directly as x"
For example:
The weekly salary of a girl earns, S, varies directly as the number of hours, H, which she works. Express this relation as a formula.
The answer is: S = hk or \frac{s}{h} = k[/tex]
Example of Direct Variation in real life application:
1) The voltage (V) of an electric circuit varies directly as the current (I), where R (resistance is constant)
V = R × I or V=RI
2) Hooke's law in physics states that the extension (S) of a spring varies directly as the applied force (F), where k is the constant of variation
S = kF
3) The interest (I) payable on a given loan varies directly as the time (t) for which the loan is made, where k is the constant of variation.
I = kt
1) The voltage (V) of an electric circuit varies directly as the current (I), where R (resistance is constant)
V = R × I or V=RI
2) Hooke's law in physics states that the extension (S) of a spring varies directly as the applied force (F), where k is the constant of variation
S = kF
3) The interest (I) payable on a given loan varies directly as the time (t) for which the loan is made, where k is the constant of variation.
I = kt