Answer:

Step-by-step explanation:
Linear function:
A linear function has the following format:

In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: 
So

Finding b:
We replace one of the points. Replacing (4,80).



So

Divide miles by 60 to convert it to miles per minute because there are 60 minutes in an hour.
Answer:
35/36
Step-by-step explanation:
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Answer:
There are two possibilities:
and 
and 
Step-by-step explanation:
Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:


First,
is cleared in the first equation:

Now, the variable is substituted in the second one:

And some algebra is done in order to simplify the expression:


Roots are found by means of the General Equation for Second-Order Polynomials:
and 
There are two different values for
:






There are two possibilities:
and 
and 