Answer:
f(A)= -143.75p + 4343.75
Step-by-step explanation:
Let price be x, and attendance, y
According to the given data,
admission was $17 the attendance was about 1900 customers
admission was $9 the attendance was about 3050 customers
Therefore, the points in terms of e and y coordinates would be , (17, 1900) --> (x1,y1)
& (9, 3050)---->(x2,y2)
Next is to calculate slope of linear equation i.e
m= (y2-y1)/(x2-x1)
m=(3050-1900)/(9-17)
m= -143.75
Now in order to find the equation, we use point-slope
y-y1= m (x-x1)
considering the coordinates (17, 1900) and slope -143.75
Equation becomes
y-1900 = -143.75( x- 17)
y-1900= -143.75x + 2443.75
y= -143.75x + 4343.75
or can be written as,
f(A)= -143.75p + 4343.75
Answer:
Step-by-step explanation:
From the question, A local cinema found that if the price of admission was $17the attendance was about 1900 customers per weekWhen the price of admission was dropped to $9. Attendance increased to about 3050 per week. Write a equation for the attendance in terms of the price. P i (A=mp+b )
Let price be a,and attendance, b
Attendance: 1,900 customers, when PRICE = $17
Attendance: 3,050 customers, when PRICE = $9
We then get the points,
(17, 1,900) & (9, 3,050)
Slope of linear equation,
(17,1900) (9, 3050)
find the slope m
(3050-1900)/(9 - 17)
1150/-8
-143.75=m
A=mp+b
A=-143.75p+b
using Attendance as a function of ticket price.
A(p) = mp + b
We have two points (p, A): (17, 1900), (9, 3050)
Slope: m = (2800-1500)/(7-17) = 1300/-10 = -130
A = -130p + b
Using (17, 1900) as (p, A) find b
1900 = -143.75(17) + b
1900 = -2443.75 + b
4343.75 = b
A = -143.75p + 4343.75
multiply polynomials (2n+2)(6n+1)
The multiplication of the expression ( 2n + 2 )( 6n + 1 ) is 12n² + 14n + 2.
Given the expression in the question:
( 2n + 2 )( 6n + 1 )
To multiply the expression ( 2n + 2 )( 6n + 1 ), we use the distributive property and the FOIL method.
( 2n + 2 )( 6n + 1 )
Using the Foil method:
2n( 6n + 1 ) + 2( 6n + 1 )
Using the distributive property:
2n × 6n + 2 × 1 + 2 × 6n + 2 × 1
Multiplying, we get:
12n² + 2n + 12n + 2
Collect and add the like terms:
12n² + 14n + 2
Therefore, the simplified form is 12n² + 14n + 2.
Learn more about the FOIL method here: brainly.com/question/27980306
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3xsquared + 14x +20