AnswersAlgebra 2 with ProbabilityPolynomial Functions and Theorems — TestQuestion 10
10
QuizMultiple Choice

Polynomial Functions and Theorems — Test

Question 10 • Algebra 2 with Probability

The owner of a coffee shop chain creates a graph representing sales in thousands of dollars. She describes the characteristics as follows: • There have been two turning points in sales this year. • Sales are expected to increase in the long run. • The least amount of sales during the year is about 250 dollars comma 000 Which graph correctly shows the coffee shop’s sales?

Answer
A
Image with description Line graph on an x y coordinate plane. The x-axis is labeled from 1 to 9. The y-axis is labeled from 100 to 900 in increments of 100. The curve begins at approximately (0 comma 200), rises to a local maximum at (1 point 5 comma 425), then decreases to a local minimum near (5 point 5 comma 150), and subsequently increases sharply to approximately (10 comma 700).
B
Image with description Line graph on an x y coordinate plane. The x-axis is labeled from 1 to 9. The y-axis is labeled from 100 to 900 in increments of 100. The curve begins near (0 comma 450), decreases to a local minimum at approximately (1 point 5 comma 250), then increases to a local maximum at approximately (5 point 5 comma 525), and finally decreases sharply, passing through (9 comma 50) and continuing downwards.
C
Image with description Line graph on an x y coordinate plane. The x-axis is labeled from 1 to 9. The y-axis is labeled from 100 to 900 in increments of 100. The curve begins near (0 comma 425), decreases to a local minimum at approximately (3 point 5 comma 250), then rises sharply, ending with an arrow near (10, 900) indicating an upward path.
D
Image with description Line graph on an x y coordinate plane. The x-axis is labeled from 1 to 9. The y-axis is labeled from 100 to 900 in increments of 100. The curve begins at approximately (0 comma 300), rises to a local maximum at (1 point 5 comma 525), then decreases to a local minimum near (5 comma 250), and subsequently increases sharply to approximately (10 comma 800).

Explanation

The graph needs two turning points: a local maximum followed by a local minimum. It must then rise in the long run, and its lowest sales value should be about $250,000, or 250 on the graph’s thousands-of-dollars scale. Choice D shows both turning points, a minimum near 250, and sales increasing afterward.

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