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. a situa:on that can # texts Discrete: Can you send 0.5 or 0.365 miles Con:nuous: be e xpressed as a decimal or of text message? No only whole hour frac:on. It is possible to travel month texts. A graph of isolated points. at a speed of 64.24564 mph. 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 Posi:ve Correla:on: as x increases, y increases your boQle. Decimal answers are appropriate. Nega:ve Correla:on: as x increases, y decreases Explain how you got your answer. or as x decreases, y increases No Correla:on: neither above, no trend
x
y
-‐1 5 3
3
-‐1 0
Not a func*on because -‐1 has a y value of 5 and 0
x
y
-‐1 5 3
3
4
-‐2
These are func*ons since each x value has only one y value, even if the points repeat.
x
y
x
y
-‐1 5
-‐3
12
-‐1 5
-‐1
10
4
0
9
2
7
5
3
-‐2
Domain: [-‐3,-‐1,0,2,5] Range: [12,10,9,7,3]