1 and 2 are examples but I still need help , I don’t understand n this is due today
1 answer:
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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:
13, 11, 4, 16, 6, 22
Step-by-step explanation:
<em>Let the second digit be x and the last digit be y</em>
Given:
- Data set: 13, x, 4, 16, 6, y
- Mean = 12
- y = 2x or x = 2y
The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.
Let us substitute the value of y (2x) in the data.
Now, add all the terms in the data and simplify.
Distribute the denominators and simplify.
Subtract 6.5 both sides and simplify.
Use cross multiplication and simplify.
To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".
When the x and y values are substituted in the data, we get;
- ⇒ 13, 11, 4, 16, 6, 22
Therefore, the data is 13, 11, 4, 16, 6, 22.