SOLUTION: A local theme part found that if the price of admission was $11, the attendance was about 100 customers per day. When the price of admission was dropped to $6, attendance increase

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Question 1018257: A local theme part found that if the price of admission was $11, the attendance was about 100 customers per day. When the price of admission was dropped to $6, attendance increase to about 1700 per day. Write a linear equation for the attendance in terms of the price. (A=mp+b)
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39623) (Show Source):
You can put this solution on YOUR website!
Ordered pair are as (p,A) for price p and attendance, A.

Two points described are (11,100) and (6,1700). You want to find the slope-intercept equation for the line containing these two points.

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Pick either point...

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Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = attendance /day
Let = price of admission
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When price of admission stays at $11:

(1)
When price drops to $6:
(2)
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Subtract (1) from (2)
(2)
(1)
----------------------

and
(1)
(1)
(1)
(1)
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The equation is:

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check:
( 11, 100 )

and
( 6, 1700 )

OK