Question

as a school bus driver, dakota takes pride in safely taking the neighborhood children to school every day. at the beginning of this school year, dakota was excited when she was given a much newer bus to drive her route. this graph shows the relationship between the number of school days dakota has been driving her new bus, x, and the total number of school days dakota has been driving her new bus, x, and the total number of miles the bus has been driven, y.

Explanation:

Step1: Identify the y-intercept

The graph intersects the y-axis at \( (0, 25) \), so the y-intercept \( b = 25 \).

Step2: Calculate the slope

Take two points, e.g., \( (0, 25) \) and \( (2, 40) \). Slope \( m=\frac{40 - 25}{2 - 0}=\frac{15}{2}=7.5 \).

Step3: Write the equation

The linear equation is \( y = mx + b \), so \( y = 7.5x + 25 \). (Assuming the question is to find the equation; if it's about slope or intercept, adjust accordingly.)

Answer:

The linear equation is \( y = 7.5x + 25 \) (or relevant value based on specific question about the graph, e.g., slope \( 7.5 \), y-intercept \( 25 \)).