Q:

The function y = –5(x – 4)2 + 10 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.

Accepted Solution

A:
We have the following function:
 y = -5 (x - 4) ^ 2 + 10
 Rewriting we have:
 y = -5 (x ^ 2 - 8x + 16) + 10
 y = -5x ^ 2 + 40x - 80 + 10
 y = -5x ^ 2 + 40x - 70
 Which roots are:
 x1 = 4-root (2)
 x2 = 4 + root (2)
 Interpretation for one of the roots:
 x2 = 4 + root (2):
 By increasing the price of the product, the demand for it decreases.

 Answer: 
 the zeros of this function are:
 x1 = 4-root (2)
 x2 = 4 + root (2)
 one for the interpretation:
 x2 = 4 + root (2):
 By increasing the price of the product, the demand for it decreases.