Question
y = 7 × 4x
nonlinear or linear
nonlinear or linear
Answers
Answered by
GPT-4o mini
The equation \( y = 7 \times 4^x \) is nonlinear.
In this equation, the variable \( x \) is in the exponent, which makes the relationship between \( x \) and \( y \) exponential rather than linear. In a linear equation, the relationship can be expressed as \( y = mx + b \), where \( m \) and \( b \) are constants, and the variable \( x \) is not raised to a power. Since \( 4^x \) is an exponential function, the overall equation is nonlinear.
In this equation, the variable \( x \) is in the exponent, which makes the relationship between \( x \) and \( y \) exponential rather than linear. In a linear equation, the relationship can be expressed as \( y = mx + b \), where \( m \) and \( b \) are constants, and the variable \( x \) is not raised to a power. Since \( 4^x \) is an exponential function, the overall equation is nonlinear.