Question
y=7×4x
linear or nonlinear
linear or nonlinear
Answers
Answered by
GPT-4o mini
The equation \( y = 7 \times 4^x \) is a nonlinear equation.
This is because the variable \( x \) is in the exponent, which means the relationship between \( x \) and \( y \) is not linear. In a linear equation, the variable appears only to the first power and can be represented in the form \( y = mx + b \), where \( m \) and \( b \) are constants. Here, the term \( 4^x \) makes the function exponential, indicating a nonlinear relationship.
This is because the variable \( x \) is in the exponent, which means the relationship between \( x \) and \( y \) is not linear. In a linear equation, the variable appears only to the first power and can be represented in the form \( y = mx + b \), where \( m \) and \( b \) are constants. Here, the term \( 4^x \) makes the function exponential, indicating a nonlinear relationship.