What would be the son’s allowance for day 31?

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Presentation transcript:

What would be the son’s allowance for day 31? Peppy Population Riddle: A father complained that his son’s allowance of $5 per week was too much. The son replied, “Okay, dad. How about this. You give me a penny for the first day of the month, 2 cents for the next, 4 cents for the next, 8 cents for the next and so on for every day of the month.” The father readily consented! Who was more clever? What would be the son’s allowance for day 31?

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Changes in Population Natality- Birth rate Mortality- Death rate Immigration- Number of individuals moving into an area Emigration- Number of individuals moving out of an area (exit) Moving IN Moving OUT

Carrying Capacity Maximum number of individuals an area can sustain or support for a long time

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Doubling Time Time it takes for a population to double Bacteria can double every 20 minutes! 1 bacteria at 8am 4096 bacteria by noon 134,217,728 by 5 pm

Proper Population Problems Step 1: Make 2 columns…one for increase & one for decrease Step 2: Fill in the natality & immigration #s under INCREASE Fill in the mortality& emigration #s under DECREASE Step 3: Calculate the change. Were there more in the increase or decrease column? Step 4: Circle increase or decrease Step 5: Do the math to figure out by how much!

Let’s Do a Class Example… Initial population 34 Increase (+) (-) Decrease + 3 - 5 + 1 - 2 = 4 = -7 Difference: 4 - 7 = -3 Increase or Decrease At what rate? -3/ year Predict the population after three years: 34 – 3 = 31 – 3 = 28 – 3 = 25 OR 3 * (-3) = -9 34 – 9 = 25

Now you try… A peppy, yet pesty population of cockroaches was observed over one year. During that time there were 500 births, YUK! There were 100 deaths (humans love to squash those pesky roaches). There were 50 immigrants to the population and 40 roaches left to go live in a cracker box down the road. Is the population increasing or decreasing and at what rate? Increase (+) (-) Decrease +500 -100 +50 -40 = + 550 = -140 Difference: +550 – 140= +410 Increase or Decrease Rate: +410/year YUK!