Archimedes Principle Experiment – Part 2 We are going to drop bolts into the cylinder one at a :me. Lets measure Volume. 1. Iden:fy the following: Independent variable, Dependent variable,
Rate of Change, and the units of each of the three. Conduct the experiment by crea:ng a simple table. Take an ini:al measurement. Then drop in 3 bolts and take a new measurement. Record your data in the table. Repeat un:l you have used up all your bolts. 2. Does the data depict a func:onal rela:onship? Jus:fy your answer.
3. What kind of correla:on does your data depict? Jus:fy your answer. 4. What is the domain and range of your data? Use the correct nota:on. 5. Create a scaQerplot of your data on graph paper. Make sure to label the x and y axis with the correct quan:ty and units. Make sure to use an appropriate scale. Create a :tle for your scaQerplot 6. Does your data depict a con:nuous rela:onship or a discrete rela:onship? Jus:fy your answer. 7. Use you scaQerplot to determine the increase in volume if 4.5 bolts were dropped in the water. Explain how you got your answer. 8. Use your scaQerplot to determine the number of bolts needed to double the ini:al volume of the water in your boQle. Decimal answers are appropriate. Explain how you got your answer.
x y
-‐1 5
3 3
-‐1 0
x y
-‐1 5
3 3
4 -‐2
Not a func*on because -‐1 has a y value of 5 and 0
These are func*ons since each x value has only one y value, even if the points repeat.
x y
-‐1 5
-‐1 5
4 -‐2
Posi:ve Correla:on: as x increases, y increases Nega:ve Correla:on: as x increases, y decreases
or as x decreases, y increases No Correla:on: neither above, no trend
x y
-‐3 12
-‐1 10
0 9
2 7
5 3
Domain: [-‐3,-‐1,0,2,5] Range: [12,10,9,7,3]
# textsmonth
mileshour
Discrete: Can you send 0.5 or 0.365 of text message? No only whole texts. A graph of isolated points.
Con:nuous: a situa:on that can be expressed as a decimal or frac:on. It is possible to travel at a speed of 64.24564 mph.
