Question

A woodworker makes wooden checkerboards. her profit is a function of the price she charges. this graph shows her total profits, y, based on the sales price, x, of each checkerboard.

identify any zeros of the function, and interpret what the zeros mean in terms of the situation.

Answer 1

x = 15 and x = 70, and these are the prices such that the profit is zero, so at these prices she does not make nor lose money.

Explanation:

Answer 2

Option B.

Explanation:

Remember that the profit is defined as the difference between the revenue and the cost.

So, having a profit y = 0 means that the woodworker did not win nor lose anything.

Then the zeros of the function, the values of x such that the graph intersects the x-axis, are the prices such that she does not win nor loss anything.

In the graph we can see that the zeros are at:

x = 15 (the first one)

x = 70 (the second one)

so the zeros are at x = 15 and x = 70, and these are the prices such that the profit is zero, so at these prices she does not make nor lose money.

The correct option is B.