The function graphed models the profits, p(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day. which statements are true based on the model? select each correct answer. a) the store earns about $19,500 in profits on its best days. b) the store loses money when 20 or more clerks are working. c) the store earns profits when no clerks are working. d) maximum profits are earned when there are 19 clerks working. e) maximum profits are earned when there are 10 clerks working.

Answers:
B) The store loses money when 20 or more clerks are working.
E) Maximum profits are earned when there are 10 clerks working.

Explanation:
Let's check each of the given choices:
Choice A:
The maximum profit occurs at the peak of the parabola given. Reading the graph, we can find that the maximum profit is about 18,000.
Therefore, this choice is not correct

Choice B:
The x-axis represents the number of clerks. We can note that for 20 or more, the value of the profit is decreasing. This means that the store is losing money.
Therefore, this choice is correct

Choice C:
To know whether the store earns profit when no clerks are working or not, we will need to read the value of the y-axis (profit) when the x-axis (clerks) is zero. Doing this, we will find that no profit is earned when no clerks are working.
Therefore, this choice is not correct

Choice D:
Maximum profit occurs at the peak of the parabola given. Therefore, to know the number of clerks corresponding to the maximum profit, we will need to read the x-value of the peak of the parabola. Doing this, we will find that maximum profit occurs when the number of clerks is 10.
Therefore, this choice is not correct.

Choice E:
Maximum profit occurs at the peak of the parabola given. Therefore, to know the number of clerks corresponding to the maximum profit, we will need to read the x-value of the peak of the parabola. Doing this, we will find that maximum profit occurs when the number of clerks is 10.
Therefore, this choice is correct

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