Question

Select the correct function for each table, graph and equation.(6 points)
Linear Nonlinear



3x−4y=27





3x2−2x=4y








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Answer 1

To classify the given equations into linear and nonlinear categories, let’s analyze each one:

1. **Equation: \(3x - 4y = 27\)**
- This equation can be rewritten in the form \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y-intercept), which confirms that it is a linear equation.
- **Classification: Linear**

2. **Equation: \(3x^2 - 2x = 4y\)**
- This equation contains a term with \(x^2\), indicating that it is a quadratic equation (and thus nonlinear).
- **Classification: Nonlinear**

Now, we can summarize the classifications:

- **Linear:** \(3x - 4y = 27\)
- **Nonlinear:** \(3x^2 - 2x = 4y\)

If you were also presented with tables or graphs, you would apply a similar logic—checking for constant rates of change in tables or straight-line characteristics in graphs for linear functions, while curves or varying rates would indicate nonlinear functions.

If you have specific tables or graphs to evaluate, please provide those as well!