how am i supposed to answer this?
Step-by-step explanation:
the calculation is included. I hope its self explanatory
Using the vertex of the quadratic equation, it is found that the maximum profit she can earn is of $106.
<h3>
What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:


Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, her profit is modeled by:

Which is a quadratic equation with coefficients a = -1, b = 14, c = 57, hence, her maximum profit in dollars is given by:

More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967
-1/8 because it would be -1/16 which is closer to 0 then -1/8. We want something that will return a value where the denominator is large for a negative value.
Answer:
Step-by-step explanation:
y = ab^x where 0<b<1 for exponential decay
an example would be y = 3(1/7)^x