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 45PPE
Inverse variation,
Explanation of Solution
Given table:
x | y |
1.6 | 30 |
4.8 | 10 |
___ | 96 |
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 inverse variation because x and y both are inversely proportional, if the value of x increases then the value of y decreases and vice versa.
Equation for the given data in table is
x | y |
1.6 | 30 |
4.8 | 10 |
0.5 | 96 |
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