Question

the graph shows the relationship between the pounds of cheese bought at a deli and the total cost for the cheese. 1) what is the unit rate? 2) what does the point (2,8) mean in terms of the situation?

Explanation:

Step1: Find the unit rate

The unit rate is the slope of the line. For a line passing through the origin \((0,0)\) and another point \((x,y)\), the slope \(m=\frac{y}{x}\). Using the point \((2,8)\), \(m = \frac{8}{2}=4\).

Step2: Interpret the point \((2,8)\)

In the context of the problem, the \(x -\)coordinate represents the weight of the cheese (in pounds) and the \(y -\)coordinate represents the total cost (in dollars).

Answer:

1. The unit rate is \(4\) dollars per pound.
2. The point \((2,8)\) means that \(2\) pounds of cheese cost \(8\) dollars.