SOLUTION: A paper strip is ripped in half and the halves are stacked on each other; the stack is then ripped in half and the resulting halves stacked on each other; and so on. The equation
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Question 134548: A paper strip is ripped in half and the halves are stacked on each other; the stack is then ripped in half and the resulting halves stacked on each other; and so on. The equation 2.5=0.0005(2)^x can be solved to determine how many rips must be made (starting with the strip and then continuing with stacks) to make a stack 2.5 cm high, given a paper strip is 0.005cm thick. Determine how many rips must be made by solving the equation 2.5=0.005(2)^x graphically using your calculator. Sketch and write the equation(s) if the graph(s) you used to arrive at the solution. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Determine how many rips must be made by solving the equation 2.5=0.005(2)^x graphically using your calculator. Sketch and write the equation(s) if the graph(s) you used to arrive at the solution.
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2.5=0.005(2)^x
2^x = 2.5/0.005
2^x = 500
xlog2 = log500
x = log500/log2
x = 8.9658
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Cheers,
Stan H.
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