Final Answer:
The correct description based on the proportional relationship represented by the equation c = 7.95p is: "for $7.95, you can buy 1 pound of shrimp."
Step-by-step explanation:
The given equation, c = 7.95p, signifies a proportional relationship between the total cost (c) and the number of pounds (p) of shrimp. In a proportional relationship, the constant of proportionality is the ratio of the two variables. In this case, the constant is 7.95, indicating that for each pound of shrimp (p), the total cost (c) is $7.95. Therefore, to find the cost for 1 pound of shrimp, you can substitute p = 1 into the equation: c = 7.95 * 1 = $7.95. This calculation confirms that for $7.95, you can indeed buy 1 pound of shrimp.
It's essential to understand the interpretation of the equation. The coefficient 7.95 represents the cost per pound of shrimp. Hence, the correct description is not "for $1, you can buy 7.95 pounds of shrimp" or "for $7.95, you can buy 7.95 pounds of shrimp," as these misinterpret the nature of the relationship. The proportional relationship, as expressed in the equation, directly implies that for $7.95, you acquire 1 pound of shrimp, making the third option the accurate description.
In conclusion, the equation c = 7.95p conveys a straightforward relationship where each additional pound of shrimp incurs a cost of $7.95. The correct interpretation, based on this equation, is that for $7.95, you can purchase 1 pound of shrimp.