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DIA [1.3K]
2 years ago
6

Patrons (P) Revenue (R)

Mathematics
1 answer:
kari74 [83]2 years ago
5 0

The linear model for the data is expressed as: R = 20p - 160.

<h3>How to Write a Linear Model?</h3>

Using two pairs of values from the table values, say, (32, 480) and (33, 500), find the unit rate (m).

Unit rate (m) = (500 - 480)/(33 - 32) = 20/1

Unit rate (m) = 20.

Substitute (p, R) = (32, 480) and m = 20 into R = mp + b to find b

480 = 20(32) + b

480 = 640 + b

480 - 640 = b

b = -160

To write the linear model, substitute m = 20 and b = -160 into R = mp + b:

R = 20p - 160

Learn more about linear model on:

brainly.com/question/4074386

#SPJ1

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Solution:-

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To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AB. We will first determine the direction vector ( d ) that is parallel to the line AB as follows:

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The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point B is expressed as:

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The above equation satisfies all the points that lies on the line AB. To determine the coordinates of ( C ). We will plug in the appropriate value of parameter ( s ) and evaluate.

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               < x , y > = < 3 , -5 > + ( 4/5 ) * < 10 , -10 >  

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              < x , y > = < 11 , -11 >   ... Answer

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