Lets say that you have a known distance that is displayed on a map. This distanc
ID: 2003649 • Letter: L
Question
Lets say that you have a known distance that is displayed on a map. This distance is given as 100m. You use a ruler and measure this distance to be 4 inches.
You now know that 100m = 4inches for this scale drawing.
Now lets say that you make a measurement on that same drawing that is 2.4 inches long. How long is the actual (un-scaled) distance?
We know that 100m = 4 inches in our scale so we can write this as
100m / 4 inches = 1 or 4 inches / 100 m = 1 for this scale ONLY
Since this is the distance relations for the drawing. We can then write a conversion equation that will take the 2.4 inches and write it in terms of the actual distance in meters.
100m/ 4 inches * 2.4 inches = (100 m) * 2.4 inches / 4 = ( 25m)( 2.4) = 510m
In The above image, the length is denoted with black and red lines of the organism. Note the actual size of the appendage (pseudopod) equals 0.65mm or 0.65X10 ^-3 m
Using the actual measurement of the pseudopod and your measurement, likely in centimeters or millimeters, create a scaled equality.
Use this equality to determine the length of the organelle in the above image. Make sure to write all steps shown above for the conversion from the measured length to the actual length of the organelle.
Make sure to show all work – every equation with units is required.
What is size of organelle (diameter shown with red line) Approximate length of pseudopod to be measured shown with a black line.Explanation / Answer
length of black line , x1 = 13 cm on the image is equal to actual length a = 0.65 mm
length of red line , x2 = 1.7 cm on the image is equal to actual length b.
so x1 b = x2 a
b = ( x2 a) / x1 = ( 1.7 cm x 0.65 mm) / 13 cm = 0.085 mm
so the size of organelle is 0.085 mm = 0.085 x 10-3 m
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