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college algebra discussion board 1

Linear Demand and Supply

1. The linear demand function is given by the linear function equation q = mp + b, where q

is the number of items demanded corresponding to the price, p, in U.S. dollars of each

item demanded, m is the slope of the linear function, and b is the q-intercept of the linear

function.

Table A

Table B

P1

Q1

2

1,400

3

1,200

4

1,500

5

1,250

6

1,100

7

1,300

8

1,150

P2

Q2

12

400

13

200

14

500

15

250

16

100

17

300

18

150

2. Choose 1 pair of numbers, (pi, qi), i = 1, 2, from each table above. You must choose the pi

and qi that are on the same row in Table A or Table B, but you may choose combinations

that are in different rows in each table. For example, if you choose 4 from the p1 column

in Table A, then you must choose 1,500 from the q1 column so that the ordered pair (4,

1,500) is chosen from Table A. Then, you can choose any of the row values from Table

B, such as (18, 150), to go with the ordered pair (4, 1,500). Make sure that your chosen

two ordered pairs of numbers from Tables A and B are different from the combinations

that are chosen by all of your classmates who have already posted.

2. Use your chosen two ordered pairs and the equation of the slope of a linear function

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