| Problem |
Solution |
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1) There is a population of 832 rabbits in the city of Lakewood. The population of rabbits doubled every six months. What was the population of rabbits 30 months ago?
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30 months ago is ____ doubling cycles
There are 2 ways to solve this problem:
- Method 1: Brute force! Use your calculator to successively divide 832 by 2 5 times = _______ rabbits
- Method 2: Use powers of 2:
Let P = the rabbit population 30 months ago.
Write the equation for P and solve:
P = ______ rabbits.
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2) What is the next term in this sequence:
1, 2, 2, 4, 8, 32, 256, __ ?
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- You must find what each term is using previous terms.
- The next term is _______
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3) Study the sequence of shapes below built out of squares. How many squares would be in the 10th
term of the sequence?
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Let n = the term number (1, 2, 3, ...)
- The top row is _____
- The bottom vertical squares are ____
- The ones in between are ________
- So add these up to get the total number of squares in the nth term is:
___________________
- So, using this expression, the 10th term is ___________
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4) A ladybug is walking along the bottom edge of
a window frame. The y-axis shows distance
from the corner of the window frame in inches.
The x-axis shows time in seconds. How fast is
she walking?