1. When the fundraiser began, 600 people wanted to purchase the dance troupe’s T-shirts at $12 per T-shirt, but as the group increased the price of their T-shirts, they noticed a fall in the demand. For every $1 increase in price, the demand fell by 50 shirts. The dance troupe’s initial supply was short by 210 T-shirts which corresponded to an initial price of $9.75. For every $1 increase in price, they ordered 40 more T-shirts. Write a system of linear equations to represent both the demand and supply for the T-shirts. Let q represent the quantity of T-shirts and p represent the price.
28 points but if the answer is just so you can get points you will be reported

Step-by-step explanation:

($12, 600) <--- 600 shirts sold at $12

($9.75, 810) <--- the supply was short by 210, which makes it 810

For every $1 increase in price the demand decreases by 50, so the slope is -50

For every $1 increase in price the supply increases by 40, so the slope is +40

Demand line is y = -50x + b

                 600 = -50*12 + b

              600 = -600 + b

                b = 1200

 y = -50x + 1200

The supplhy line is y  = 40x + b

                         810 = 50*9.75 + b

                 810 = 487.50 + b

           = 322.50

 y = 40x + 322.50

Q = -50p + 1200 is the demand

Q = 40p + 322.50 is the supply

the equilibrium price is -50p + 1200 = 40p + 322.50

                                    1200 - 322.50  = 90p

                                   p = 9.75

9.75 is the equilibrium price (if it's too long or you don't understand, just delete)

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1