Kenny buys mixed nuts at a corner market for per pound. The cost is a function of the number of pounds of nuts bought. What is the graph of the function? Is the function continuous or discrete?
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To determine the graph of the function, we need to define the relationship between the cost and the number of pounds of nuts bought. Let's assume that the cost function is:
C(x) = kx
Where C(x) represents the cost in dollars and x represents the number of pounds of nuts bought. k is the cost per pound of nuts.
Now, let's plot the graph. On the x-axis, we will have the number of pounds of nuts bought (x), and on the y-axis, we will have the cost (C).
Since we have a linear relationship between the cost and the number of pounds, the graph will be a straight line passing through the origin (0,0). The slope of the line will be equal to the cost per pound of nuts (k).
Regarding the continuity of the function, a function is considered continuous if there are no breaks, jumps, or gaps in its graph. In this case, since the function is represented by a straight line, the graph will be continuous.
Therefore, the graph of the function will be a straight line passing through the origin, and the function will be continuous.