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Answer:
The constant of proportionality is option D i.e 5.
Step-by-step explanation:
Variation:
Variation problems involve fairly simple relationships or formulas, involving one variable being equal to one term. There are two types of variation i.e.
- Direct variation
- Inverse variation
Direct Variation:
Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
Example
where, k is constant of proportionality.
The above given example is of Direct Variation
∴ y = 5 x
∴ k = 5 = constant of proportionality.
Inverse Variation:
Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
Example
where, k is constant of proportionality.
Answer: The answer is
Step-by-step explanation: Given that the co-ordinates of point G and H are (3, -1) and (-2, 3) respectively.
We are to find the y-value of the point P that is located at two-third distance from point G to point H.
As shown in the attached figure, the ration in which the point P divides the line segment GH is 2 : 1.
Therefore, the co-ordinates of point P will be
Thus, the y-value of the point P is
Answer:
2
Step-by-step explanation:
Given:
The interval, x = -2 to x = 0.
Required:
Average rate of change from x = -2 to x = 0.
SOLUTION:
From the graph,
If x = -2, f(-2) = 0.
If x = 0, f(0) = 4
Average rate of change =
Where,
Plug in the values into the formula:
Average rate of change from x = -2 to x = 0 is 2.