A local cinema found that if the price of admission was $17$17, the attendance was about 20502050 customers per week. When the price of adm
Question
A local cinema found that if the price of admission was $17$17, the attendance was about 20502050 customers per week. When the price of admission was dropped to $12$12, attendance increased to about 21002100 per week. Write a linear equation for the attendance in terms of the price, p. ( A=mp+bA=mp+b )
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2022-01-07T02:33:33+00:00
2022-01-07T02:33:33+00:00 1 Answer
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Answers ( )
Answer:
A = -10*p + 2220
Step-by-step explanation:
To write a linear equation let define
A = attendance
m = slope of the line
b = intercept of the line
p = Price of admision
let´s find m, using the two points (p,A)
point 1 = (17, 2050)
point 2 = (12, 2100)
m = (2100 – 2050)/(12-17) = -10
Replacing m in the equation
A=-10p+b
To find b, let´s use point 1
2050 = -10*17 + b
B = 2050 + 170
b = 2220
finally, the equation is
A = -10*p + 2220