Concept explainers
Tell whether the given table represents a direct variation or an inverse variation.
Write an equation to model the data. Then complete the table.
Answer to Problem 43PPE
Direct variation,
Explanation of Solution
Given table:
x | y |
10 | 4 |
20 | |
_8__ | 3.2 |
Concept Used:
- Mathematically relationship between two variables that can be expressed by an equation in which one variable is equal to constant times the other variable is called direct variation.
- Mathematically relationship between two variables that can be expressed by an equation in which the product of two variables is constant is called inverse variation.
Calculation:
The given table represents an direct variation because in the table the value of x increases then the value of y also increases and vice versa. And x and y both are directly proportional
Equation for the given data in table is
x | y |
10 | 4 |
20 | 8 |
_8__ | 3.2 |
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