1. Problem A-D: Cody's earnings based on hours worked. Given data points show a linear relationship between hours worked ($x$) and money earned ($y$). 2. To find the slope $m$, use two points, for example $(3, -31.5)$ and $(6, -42)$: $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-42 - (-31.5)}{6 - 3} = \frac{-10.5}{3} = -3.5$$ 3. The slope is $-3.5$, meaning for each additional hour worked, money earned decreases by 3.5 units (negative slope). 4. However, the problem context (money earned vs hours worked) suggests a positive slope, so the initial data might be from a different context. 5. For Cody's earnings: - A. If Cody works 14 hours, earnings = $7.5 \times 14 = 105$ (given correct) - B. If earnings are 120, hours worked = $120 / 7.5 = 16$ hours - C. If works 20 hours, earnings = $7.5 \times 20 = 150$ (not 160, so C is false) - D. The relationship is proportional since earnings increase linearly with hours. 6. Problem 14: Aaron's calories burned represented by $y = 12x$. - Since $y$ increases as $x$ increases, the correct graph is B (positive slope). 7. Problem 15: JJ's almonds cost graph. - Points: (2,6.5), (4,13), (6,19.5), (8,26), (10,32.5) show a linear increase. - Slope $m = \frac{13 - 6.5}{4 - 2} = \frac{6.5}{2} = 3.25$ dollars per pound. Final answers: - Cody's earnings slope: 7.5 - Aaron's calories graph: B - JJ's almonds slope: 3.25