Question

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck (y) if he drives it x miles. y = 0.5x + 10 What does the y-intercept of the graph of this equation represent?

Answer 1

The y-intercept of the equation y = 0.5x + 10 is 10, which represents the fixed daily fee Charlie pays to rent the truck, regardless of miles driven.

Step-by-step explanation:

The equation y = 0.5x + 10 represents the daily amount Charlie paid for a moving truck, where x is the number of miles he drives and y is the total cost. The y-intercept is the point where the line representing this equation crosses the y-axis. In this context, the y-intercept is 10, which represents the daily fee that Charlie has to pay regardless of the number of miles driven. This is because when x (the number of miles driven) is equal to 0, the equation simplifies to y = 10, indicating that Charlie will pay $10 even if he doesn't drive the truck at all.