Question

The function y= -6(x - 5)2 + 12 shows the daily profit (in hundreds of
dollars) of a taco food truck, where x is the price of a taco (in dollars). Find
and interpret the zeros of this function.
Select two answers: one for the zeros and one for the interpretation.
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A. Interpretation: The zeros are where the price of a taco is $0.00.
B. Zeros: * = 5 – /2 - 3.58 and x = 5+2=6.41
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c. Zeros: x= 5 and x = -5
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D. Interpretation: The zeros are where the daily profit is $0.00

Answer 1

Answer:

D. Interpretation: The zeros are where the daily profit is $0.00

zeros: x = 3.586 and x = 6.414

Explanation:

We have been given the following daily profit function;

$y=-6(x-5)^{2}+12$

where y is the profit (in hundreds of  dollars) of a taco food truck

and x the price of a taco (in dollars)

The zeros of this profit function can be obtained by solving for x in the following equation;

$0=-6(x-5)^{2}+12$

These will simply be the x-intercepts of the profit function. That is the points where the profit function crosses or intersects the x-axis.

Therefore, an interpretation of the zeros of this function would be;

The zeros are where the daily profit is $0.00

These zeros can be evaluated graphically. We first obtain the graph of the profit function as shown in the attachment below;

We then determine the x values where the graph crosses the x-axis. These values will represent the zeros of our profit function. From the graph, these points are;

x = 3.586 and x = 6.414

Answer 2

Answer: b

Explanation: