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Sagot :
Answer:
[tex]q = -6p + 104[/tex]
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]q = mp + b[/tex]
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: [tex]m = \frac{-36}{6} = -6[/tex]
So
[tex]q = -6p + b[/tex]
Finding b:
We replace one of the points. Replacing (4,80).
[tex]q = -6p + b[/tex]
[tex]80 = -6*4 + b[/tex]
[tex]b = 104[/tex]
So
[tex]q = -6p + 104[/tex]
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