Questions: 5/6 5/6 5/6

Transcript text: $\frac{5}{6}$ $\frac{5}{6}$ $\frac{5}{6}$

Solution

Solution Steps

Step 1: Identify the Graph and Axes

The graph shows the trade-off between the number of free hours of training per week (x-axis) and the number of free hours of leisure per week (y-axis).

Step 2: Determine the Slope of the Line

The slope of the line can be calculated by taking two points on the line. For example, the points (0, 50) and (25, 0) are on the line. The slope (m) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 50}{25 - 0} = \frac{-50}{25} = -2 \]

Step 3: Interpret the Slope

The slope of -2 indicates that for every additional hour of training, the number of leisure hours decreases by 2.