63. Step-by-step explanation: I'm fairly sure it's 63, but I might be mistaken; if so, I apologize.
To achieve a positive profit p(x)>0, we start with:

Next, we solve for x:

The parameters are:
a = -2
b = 7
c = -3
We will apply the quadratic formula:

This yields two results—one a fraction, the other a whole number. We focus on the whole number since the muffins sold must be a complete unit. Thus we conclude:
x>3
1) The domain is represented in interval notation as [0, 20]. 2) The range is denoted as [100, 700]. Given that Beth saves $30 per month for 20 months and started with an account of $100, we express the total amount saved as Y = $100 + $30 × X, allowing us to accurately define both the domain and range.
Answer:
Option C. 32/3
Step-by-step explanation:
It is understood that
A relationship between two variables, x and y, signifies inverse variation if it can be represented as either
or 
It is also known that
For p=14, x=16
Determine the value of k

By substituting these values

This shows that
The equation equals

Calculate the value of p when x=21
Substitute the given value of x into the equation
Simplify
Divide both the numerator and denominator by 7