(44,11),(68,17),(84,21) Determine constant of variation
To determine the constant of variation, we need to find the ratio between the variables in each pair of points.
Let's start with the first pair of points (44,11).
Constant of variation = y / x
Constant of variation = 11 / 44
Constant of variation = 0.25
Now let's find the constant of variation for the second pair of points (68,17).
Constant of variation = y / x
Constant of variation = 17 / 68
Constant of variation = 0.25
Finally, let's find the constant of variation for the third pair of points (84,21).
Constant of variation = y / x
Constant of variation = 21 / 84
Constant of variation = 0.25
Therefore, the constant of variation for all three pairs of points is 0.25.
To determine the constant of variation, we can use the formula:
k = y/x
where k is the constant of variation, y is the dependent variable, and x is the independent variable.
Using the given data points, let's calculate the constant of variation for each pair:
For the first pair (44, 11), we have:
k = 11/44 = 0.25
For the second pair (68, 17), we have:
k = 17/68 = 0.25
For the third pair (84, 21), we have:
k = 21/84 = 0.25
Therefore, the constant of variation is 0.25 for all three pairs.
To determine the constant of variation, we need to use the formula for direct variation, which relates two variables, x and y, in the form y = kx. In this case, the constant of variation, k, represents the relationship between the two variables.
To find the constant of variation, we can choose any pair of x and y values from the given data and plug them into the formula. Let's choose the first pair (44, 11):
11 = k * 44
To find the value of k, we divide both sides of the equation by 44:
k = 11/44
Simplifying the fraction, we get:
k = 1/4
Therefore, the constant of variation, k, for the given data is 1/4.