HELP!

The yearly profit for a manufacturer that sells its product for x dollars is represented by the table below.

x P(x)
20 19,600
30 51,450
40 73,500
50 85,750
60 88,200
70 80,850
80 63,700
90 36,750
100 0

What does the x-intercept represent?
A.
the selling price of the product that will generate zero dollars in profit
B.
the amount of increase in the profit for every ten dollar increase in selling price
C.
the number of dollars in profit the manufacturer earns from selling their product
D.
the maximum profit the manufacturer can earn from selling their product

The straight line intersecting any axis, the distance between the point of intersection on-axis and origin is called an intercept of the line.
X intercept: When the Line intersects the X-axis at point (a,0), then a is the X intercept.
Y-intercept: When the Line intersects the Y-axis at point (0,b), then b is the X intercept.

Plot the given data on the graph, with x on the x-axis and P(x) on Y-axis.
As per the definition of X intercept, where the value of y - coordinate is zero, the x coordinate represents the x intercept.
Thus the x-intercept for the given data is 100.
As the P(x) defines the profit of manufacturer when the product is sold for x dollars.

Thus, the x-intercept represents the selling price of the product that will generate zero dollars in profit.

Hence, option A is the correct answer.

In option B, The amount of increase in the profit for every ten dollar increase in selling price will be represented by the slope of the line connecting the points.
In option C, the number of dollars in profit the manufacturer earns from selling their product is represented by taking the summation of y coordinates.
In option D, the maximum profit the manufacturer can earn from selling their product can be given by the maximum y coordinate.

Learn more about intercepts here:

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