1. **State the problem:** We have two rows of data: "Sprinkles" and "Jars" with values given as: Sprinkles: 153, 30.6, 13.909 Jars: 3, 1, 5, 11 We want to understand the relationship between the number of jars and sprinkles, possibly finding a formula or pattern. 2. **Analyze the data:** Notice that the "Jars" row has 4 values but "Sprinkles" has only 3 values. We will focus on the first three pairs to find a relationship: Pairs: (3,153), (1,30.6), (5,13.909) 3. **Check if sprinkles per jar is constant:** Calculate sprinkles per jar for each pair: $$\frac{153}{3} = 51$$ $$\frac{30.6}{1} = 30.6$$ $$\frac{13.909}{5} = 2.7818$$ These are not constant, so the relationship is not linear. 4. **Try to find a pattern or formula:** Let's check if sprinkles relate inversely to jars, i.e., sprinkles = $k / \text{jars}$. Calculate $k$ for each pair: $$k = \text{sprinkles} \times \text{jars}$$ For (3,153): $$k = 153 \times 3 = 459$$ For (1,30.6): $$k = 30.6 \times 1 = 30.6$$ For (5,13.909): $$k = 13.909 \times 5 = 69.545$$ Values of $k$ are not constant, so inverse proportionality is unlikely. 5. **Try to fit a function:** Since no simple linear or inverse relation fits, more data or context is needed to find a precise formula. **Final conclusion:** With the given data, no simple direct or inverse proportionality exists between sprinkles and jars for the first three pairs.