1. The problem asks to identify which equations represent the relationship between $x$ (camel rides) and $y$ (elephant rides) given the options. 2. Typically, such problems involve linear equations where coefficients represent quantities related to rides and totals. 3. Let's analyze each equation: - $5x + 2y = 70$: This is a linear equation with positive coefficients, possibly representing a total number of rides or cost. - $2x + 5y = 70$: Similar to above, just coefficients swapped. - $y = 5x + 70$: This suggests $y$ increases with $x$ plus a large constant, which may not fit a typical ride count scenario. - $y = -\frac{2}{5}x + 14$: This is a linear equation with a negative slope, indicating a trade-off between $x$ and $y$. - $y = -2.5x + 35$: Same as above but slope written as decimal. - $y = -2x + 14$: Another negative slope linear equation. 4. Usually, equations with positive coefficients on both $x$ and $y$ equal to a constant represent total constraints (like total rides or total cost). 5. Equations with negative slopes represent relationships where increasing one ride decreases the other. 6. Therefore, the two equations that best represent the situation are: - $5x + 2y = 70$ - $y = -\frac{2}{5}x + 14$ These show a total constraint and a linear relationship between $x$ and $y$. Final answer: $5x + 2y = 70$ and $y = -\frac{2}{5}x + 14$