A fitness club charges $3.50 per visit plus an annual fee of $150. What type of function is this(linear, quadratic, or inverse variation)?
linear, the change in slope is dependent directly on the visits.
linear
To determine the type of function that describes the relationship between the cost and the number of visits to the fitness club, we need to consider the given information. In this case, the fitness club charges $3.50 per visit and an annual fee of $150.
Let's denote the cost as C and the number of visits as V. We can express the cost function as follows:
C(V) = 3.50V + 150
The term 3.50V represents the cost per visit, and the constant term 150 represents the annual fee.
Now, let's analyze the equation. In this case, the cost changes linearly with the number of visits since there is a constant rate of $3.50 per visit, regardless of the number of visits. Additionally, there is a fixed annual fee of $150, which does not depend on the number of visits.
Therefore, the relationship between the cost and the number of visits is a linear function.