SOLUTION: A local zoo found that if the price of admission was $19, the attendance was about 1000 customers per week. When the price of admission was dropped to $8, attendance increased to

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Question 919617: A local zoo found that if the price of admission was $19, the attendance was about 1000 customers per week. When the price of admission was dropped to $8, attendance increased to about 2600 per week. Write a linear equation for the attendance in terms of the price, p. ( A = mp + b ). What is the equation?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Goal is to find attendance versus price relationship.
One known point is (19,1000), the coordinate being attendees and dollars for one attendee.
The next data pair would correspond to p=8 and A=2600 for the point (8,2600).

A linear fit is wanted.
m=%282600-1000%29%2F%288-19%29=1600%2F%28-11%29=-%281600%2F11%29

Pick either point to help compute the vertical axis intercept.
Using (19,1000) and the slope m found,
b=A-mp
b=1000-%28-1600%2F11%29%2A19
b=1000%2B19%2A1600%2F11
b=3763.636363636363636, needs better expressing.
b=3763%267%2F11

These attendance values can only be approximate, so no harm in taking the nearest integer of 3764.

highlight%28A=-%281600%2F11%29p%2B3764%29