es the problem below represent a linear function or an exponential function? What function can be use the situation? An online-based movie-rental site charges \( \$ 5 \) per month and \( \$ 0.50 \) per movie rented.

To determine whether the problem represents a linear function or an exponential function, let's analyze the situation step by step. ### Known Conditions: 1. The monthly charge is \( \$ 5 \). 2. The charge per movie rented is \( \$ 0.50 \). ### Step 1: Identify the Variables - Let \( x \) represent the number of movies rented. - Let \( y \) represent the total cost. ### Step 2: Formulate the Cost Function The total cost \( y \) can be expressed as a function of the number of movies rented \( x \): \[ y = 5 + 0.50x \] ### Step 3: Analyze the Function Type - The function \( y = 5 + 0.50x \) is a linear function because it can be expressed in the form \( y = mx + b \), where: - \( m = 0.50 \) (the slope, representing the cost per movie) - \( b = 5 \) (the y-intercept, representing the fixed monthly charge) ### Conclusion The situation represents a **linear function**. The function that can be used to describe the total cost based on the number of movies rented is: \[ y = 5 + 0.50x \]