What is true about the function?
Responses
A It is linear because it is always increasing.It is linear because it is always increasing.
B It is nonlinear because it is always increasing.It is nonlinear because it is always increasing.
C It is linear because it increases at a constant rate.
It is linear because it increases at a constant rate.
D It is nonlinear because it increases at a constant rate.
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The correct response is:
C It is linear because it increases at a constant rate.
The function \( y = 15x \) is a linear function since it can be represented in the form \( y = mx + b \) where \( m \) is the slope (15 in this case) and \( b \) is the y-intercept (0 in this case). The function increases at a constant rate of 15, meaning for every additional hour \( x \) worked, Sarah earns an additional $15.
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