Discover the Proportional Relationship between Cost and Shrimp Purchases!
What does the equation c = 7.95p represent?
Which description is true based on the equation of the proportional relationship?
A. For $1, you can buy 7.95 pounds of shrimp.
B. For $7.95, you can buy 7.95 pounds of shrimp.
C. For $7.95, you can buy 1 pound of shrimp.
D. For $0.13, you can buy 1 pound of shrimp.
Correct Interpretation:
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."
Understanding the Proportional Relationship:
The equation c = 7.95p signifies a direct relationship between the total cost (c) and the number of pounds (p) of shrimp. The constant of proportionality, 7.95, indicates that for each pound of shrimp purchased, the cost is $7.95.
By substituting p = 1 into the equation, you can confirm that for $7.95, you can indeed buy 1 pound of shrimp, making option C the correct description.
Interpreting the Equation:The coefficient 7.95 in the equation represents the cost per pound of shrimp. This means that for every $7.95 spent, you acquire 1 pound of shrimp.
It's important to grasp the relationship indicated by the equation to accurately determine the cost and quantity of shrimp purchased. The proportional nature of the equation directly translates to the statement: "for $7.95, you can buy 1 pound of shrimp."
In conclusion, the equation c = 7.95p illustrates a simple and clear connection where each dollar spent corresponds to 1 pound of shrimp purchased at the cost of $7.95.