The THREE true statements regarding the graph of B(w) are;
A) Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.
C) Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.
E) Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.
We are given the graph represented by the quadratic function;
B(w) = 120w/(150 + w²) for w ≥ 0 that models;
the number of boxes, B, in thousands, of the cereal sold after w weeks
From the graph, we can see that at the origin which is the coordinate (0, 0) that it remains so and as such the number of boxes of cereal sold is 0 after 0 weeks. Thus, option A is correct
Secondly, from the given graph, we see that the graph starts rising from zero to a maximum after which it keeps falling. Thus, we can say that option C is correct
Lastly, we see that the graph asymptote approaches 500 thousand boxes but never gets to zero and as such we can say that option E is correct.
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