Folding a piece of paper to the moon
Do a Google search to find out how many kilometers away the moon is! And then convert those units to meters and millimeters. The moon is 384,400kilometers away from earth.The moon is 384,400,000meters away from the earth.The moon is 384,400,000,000 millimeters away from the moon. How many times must I fold a piece of paper in half for it to reach the moon? Let's think about this. If I have a piece of paper that is 0.1 mm thick, how thick will it be after I fold it in half? In half again? And on and on? Fill in the table. Number of folds Write out your work Thickness of paper 0 N 0.1 mm 1 0.1 x 2 0.2 mm 2 0.1 x 2 x 2 0.4 mm 3 0.1 x 2 x 2 x 2 0.8 mm 4 0.1 x 2⁴ 1.6 mm 5 0.1 x 2⁵ 3.2 mm 6 0.1 x 2⁶ 6.4 mm 7 0.1 x 2⁷ 12.8 mm x 0.1 x 2^x CHECK THIS WITH ME WHEN YOU FINISH! In your very last column, you should have a function for the thickness of the paper based on the number of folds. Write the function below.f(x)= Graph! Now graph the function on desmos. Sketch the graph below. Is this function increasing or decreasing? increasing decreasing When we studied rational functions, we talked about asymptotes (a line that a function approaches but never touches). Does it look like this graph has an asymptote? If so, where? Fill in the blank. The y-intercept is (0,0.1) Is there an x intercept? Yes No Now find the following values using the desmos calculator. Just type the number and round to one decimal place. The last number is in Scientific notation. Be sure to type commas where they should go! (Example: 345,213.7) f(10)=102.4 f(20)=104,857.6f(30)=107,374,182.4f(40)=1.0995116278x10^11Now use desmos to find how many folds it would take to reach the moon! Plug in numbers until you get the amount of millimeters to the moon!It would take 42 folds. How Folding Paper Can Get You to the Moon Watch the video to see how it works! They used a thinner piece of paper, so they have a different answer. There are also different distances to the moon!