Question

A local fish farm charges its customers $2 for a pole rental and some fish food. Customers may purchase the fish they catch at the price of $7.50 per fish. This relationship can be represented by the equation y = 7.50x + 2. What does the graph of this equation represent? There may be more than one correct answer.

Answer 1

The graph of the equation y = 7.50x + 2 represents the total cost to a customer at a fish farm, with x the number of fish caught. The y-intercept is $2 for the pole rental and fish food, and the slope of $7.50 represents the cost per fish.

Step-by-step explanation:

The graph of the equation y = 7.50x + 2 represents the total cost to a customer at a local fish farm, where x is the number of fish caught and y is the total cost. The intercept of the graph represents the pole rental and fish food fee, which is a fixed cost of $2.00. The slope of the line represents the variable cost, which is $7.50 per fish. This linear equation is similar to the one that Svetlana uses to calculate her earnings for tutoring (y = 25 + 15x), where y is the total amount she earns and x is the number of hours of tutoring.

The graph of the equation for the fish farm is a straight line that starts at the y-intercept (2) and increases steadily as more fish are caught. Each additional fish increases the total cost by $7.50, equal to the slope of the line.

Answer 2

The graph could represent the total spending of a customer, or the total amount spent.