SOLUTION: John wanted to develop a pattern for determining the profit he makes at his store. (vv This is suppose to be a chart) --- Customers | Amount Spent 40

SOLUTION: John wanted to develop a pattern for determining the profit he makes at his store. (vv This is suppose to be a chart) --- Customers | Amount Spent 40 | $600

Question 827449: John wanted to develop a pattern for determining the profit he makes at his store.
(vv This is suppose to be a chart) ---
Customers | Amount Spent
40 | $600
60 | $800
80 | ?
(A)Determine the equation of John's profits
(B)Determine how much would be spent if he had 80 customers.
(C)Discuss what type of function this is
(D)Determine the initial value and the rate
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
John wanted to develop a pattern for determining the profit he makes at his store.
(vv This is suppose to be a chart) ---
Customers | Amount Spent
40 | $600
60 | $800
80 | ?
==================
Using the two points:
slope = (800-600)/(60-40) = 200/20 = 10
intercept (0,200)
-------------------------
(A)Determine the equation of John's profits: P(c) = 10c+200
-------------------------------------------------------------------
(B)Determine how much would be spent if he had 80 customers.
P(80) = 10*80+200 = 1000
------------------------------------------------------
(C)Discuss what type of function this is:: linear
-----------
(D)Determine the initial value and the rate
P(0) = 200 says he makes $200 when there are zero customers.
That information fits the linear model but is not realistic.
rate = slope = $10 per additional customer
=====================
Cheers,
Stan H.

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