plss help equation for this statement
the distance D travelled by a car varies directly as its speed s
Speed formula: s = d/t
distance (d) varies directly as speed (s): d is proportional to speed. d is also proportional to time (t).
To represent this relationship as an equation, we can use the concept of direct variation which states that two variables are directly proportional if one can be expressed as a constant multiple of the other.
In this case, the distance D is directly proportional to the speed s. Mathematically, we can write this as:
D = k * s
Where:
- D represents the distance traveled by the car,
- s represents the speed of the car, and
- k is the constant of variation.
The constant of variation (k) represents the ratio between the two variables and remains the same throughout the problem. To determine the value of k, we need additional information such as a specific distance or speed value.