1. **State the problem:** We are given two linear relations with data points for number of days and savings. We need to complete the tables, calculate the slopes, and compare the two relations. 2. **Recall the slope formula:** The slope $m$ of a line through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $$m=\frac{y_2 - y_1}{x_2 - x_1}$$ This tells us how much $y$ changes for each unit change in $x$. 3. **Calculate slope of Relation 1:** Using points $(0,196)$ and $(2,187)$, $$m_1=\frac{187 - 196}{2 - 0}=\frac{-9}{2}=-4.5$$ The problem states slope as $-4/2 = -2$, but actual calculation shows $-4.5$. 4. **Calculate slope of Relation 2:** Using points $(0,240)$ and $(20,200)$, $$m_2=\frac{200 - 240}{20 - 0}=\frac{-40}{20}=-2$$ This matches the given slope. 5. **Complete the tables:** - Relation 1 savings decrease by 9 every 2 days, so savings at 4 days: $$187 - 9 = 178$$ At 6 days: $$178 - 9 = 169$$ - Relation 2 savings decrease by 40 every 20 days, so savings at 40 days: $$200 - 40 = 160$$ At 60 days: $$160 - 40 = 120$$ 6. **Compare the relations:** - Relation 1 starts at 196, Relation 2 starts at 240, so Relation 1 starts lower on the vertical axis. - Slope of Relation 1 is $-4.5$, which is steeper (descends more quickly) than slope of Relation 2 which is $-2$. **Final answer:** - Relation 1 starts lower on the vertical axis. - Relation 1 descends more quickly than Relation 2.