Tell whether the data in the table can be modeled by a linear equation.
X: 0, 1, 2, 4, 5
Y: 1.2, 1.4, 1.6, 2, 2.2
To determine whether the data in the table can be modeled by a linear equation, we need to check if there is a constant rate of change between the values of X and Y.
Calculating the rate of change between the X and Y values:
- The difference between successive X values is: 1 - 0 = 1
- The difference between the corresponding Y values is: 1.4 - 1.2 = 0.2
- The rate of change is: 0.2 / 1 = 0.2
The rate of change between the X and Y values is constant at 0.2. This means that for every increase of 1 in X, there is a corresponding increase of 0.2 in Y.
Therefore, the data in the table can be modeled by a linear equation.