1. The problem asks us to interpret the rate of change of shoe size with respect to height from a linear graph. 2. The graph shows a line starting near (0,1) and ending near (100,8), indicating shoe size increases as height increases. 3. To find the rate of change (slope), use the formula for slope between two points $ (x_1,y_1) $ and $ (x_2,y_2) $: $$ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} $$ 4. Using points approximately $ (0,1) $ and $ (100,8) $: $$ \text{slope} = \frac{8 - 1}{100 - 0} = \frac{7}{100} = 0.07 $$ 5. This means shoe size increases by 0.07 units for every 1 inch increase in height. 6. The question options mention increases or decreases by 6 or 80 units over 80 or 6 inches, so let's check these ratios: - Increase by 6 every 80 inches: $ \frac{6}{80} = 0.075 $ (close to 0.07) - Increase by 80 every 6 inches: $ \frac{80}{6} \approx 13.33 $ (too large) 7. Therefore, the best interpretation is that shoe size increases by 6 every 80 inches, matching the slope approximately. Final answer: Option B.