Based on the given information, the rate of change is constant and it represents a linear function
Description of linear function
The function v = 150d represents the production of vehicles for the coming year, v, with respect to the number of days, d.
To determine if the rate of change is constant or not, examine the coefficient of d in the equation.
In this case, the coefficient is 150. Since the coefficient is a constant value and it does not change, the rate of change is constant.
Therefore, the rate of change is constant.
Regarding whether this is a linear or nonlinear function, observe that the equation is in the form of v = k*d, where k is a constant. This represents a linear function because it is a simple relationship where the production of vehicles (v) is directly proportional to the number of days (d) with a constant rate of change.
In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. The function v = 150d represents the company’s production for the coming year, v, with respect to the number of days, d. Is the rate of change constant or not constant & is this a linear or nonlinear function?