4. Mia makes necklaces to sell at an art fair. She
can set the price however she wants, but the
number of items she can sell decreases as the
price increases. In particular, if the price is
given by P(x) = x, in dollars, then the quantity
she sells is Q(x) = 30 - 5x. Her total revenue is
the product of the price and the quantity she
sells, and her profit is revenue minus cost. If it
costs Mia $2 to make each item that she sells,
which function gives Mia's total profit?
P(x) - 20(x) = 11x - 60
® P(Q(x)) - 2 = -5x + 28
© P(x)Q(x) – 2Q(x) = -5x2 + 40x - 60
D Q(x) - 2P(x)Q(x) = 10x2 - 65x + 30

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.