Question

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.

Answer 1

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

Zeros: x = 4 -
`√(2)` ≈ 2.58 and x = 4 +
`√(2)` ≈ 5.41

Explanation:

Sacrificed my grades

Answer 2

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.