When there is a direct proportionality y = kx
y = 75
k = 15
→ 75 = 15x
→ x = 75/15 = 5
Various options: y is directly proportional to k, with x as the constant of proportionality; y is directly proportional to x, with k as the constant of proportionality; x is inversely proportional to k, with y as the constant of proportionality; x is directly proportional to y, with 1/k as the constant of proportionality; k is directly proportional to y, with 1/x as the constant of proportionality; and k is inversely proportional to x, with y as the constant of proportionality.
The constant of proportionality in the equation ( y = 60x ) is 60. This means that for every unit increase in ( x ), ( y ) increases by 60 units. Thus, ( y ) is directly proportional to ( x ) with a proportionality constant of 60.
In the equation ( y = 4X ), the constant of proportionality is 4. This means that for every unit increase in ( X ), ( y ) increases by 4 units, indicating a direct proportional relationship between ( y ) and ( X ). Thus, ( y ) is directly proportional to ( X ) with a proportionality constant of 4.
Yes, a proportionality constant can have dimensions, depending on the relationship it describes. For example, in the equation ( F = kx ) (where ( F ) is force, ( k ) is the proportionality constant, and ( x ) is displacement), the constant ( k ) has dimensions of force per unit displacement. However, in some relationships where quantities are dimensionless, the proportionality constant may also be dimensionless.
The state of being in proportion.
Various options: y is directly proportional to k, with x as the constant of proportionality; y is directly proportional to x, with k as the constant of proportionality; x is inversely proportional to k, with y as the constant of proportionality; x is directly proportional to y, with 1/k as the constant of proportionality; k is directly proportional to y, with 1/x as the constant of proportionality; and k is inversely proportional to x, with y as the constant of proportionality.
The constant of proportionality in the equation ( y = 60x ) is 60. This means that for every unit increase in ( x ), ( y ) increases by 60 units. Thus, ( y ) is directly proportional to ( x ) with a proportionality constant of 60.
answer: 2.5 :)
It is called the constant of proportionality.
The constant of proportionality in the relationship y = 30x is 30. This means that y is always 30 times the value of x.
If two variables, X and Y, are in direct proportion then Y = c*X for some fixed value c. This value, c, is the constant of proportionality for this relationship.
In the equation ( y = 4X ), the constant of proportionality is 4. This means that for every unit increase in ( X ), ( y ) increases by 4 units, indicating a direct proportional relationship between ( y ) and ( X ). Thus, ( y ) is directly proportional to ( X ) with a proportionality constant of 4.
Yes, a proportionality constant can have dimensions, depending on the relationship it describes. For example, in the equation ( F = kx ) (where ( F ) is force, ( k ) is the proportionality constant, and ( x ) is displacement), the constant ( k ) has dimensions of force per unit displacement. However, in some relationships where quantities are dimensionless, the proportionality constant may also be dimensionless.
The state of being in proportion.
To determine the constant of proportionality, you need to identify two quantities that are proportional to each other. Divide one quantity by the other to find the ratio. This ratio remains constant for all corresponding values in the relationship. For example, if you have values (y) and (x), the constant of proportionality (k) can be expressed as (k = \frac{y}{x}).
It is the speed, which must be maintained at a constant value.
y = cx where c is some non-zero constant of proportionality. Equivalently, x = ky where k (= 1/c) is a constant of proportionality. The graph of y against x is a straight line through the origin, with slope c.