1. **State the problem:** We are given a table showing the weight in pounds and the corresponding price in dollars. We need to find the constant of proportionality, which is the price per pound.
2. **Understand the concept:** The constant of proportionality $k$ in a direct variation problem relates two variables by the formula:
$$\text{Price} = k \times \text{Weight}$$
Here, $k$ represents the price per pound.
3. **Use the data:** From the table, when the weight is 1 lb, the price is 2.50 dollars. Using the formula:
$$2.50 = k \times 1$$
4. **Solve for $k$:**
$$k = \frac{2.50}{1}$$
5. **Simplify:**
$$k = 2.50$$
6. **Interpretation:** The constant of proportionality is 2.50 dollars per pound, meaning each pound costs 2.50 dollars.
**Final answer:** The constant of proportionality is $2.50$ dollars per pound.
Constant Proportionality 7403Fb
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