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In science class, Jada uses a graduated cylinder with water in it to measure the volume of some marbles. After dropping in 4 marbles so they are all underwater, the water in the cylinder is at a height of 10 milliliters. After dropping in 6 marbles so they are all underwater, the water in the cylinder is at a height of 11 milliliters.
What is the volume of 1 marble?
How much water was in the cylinder before any marbles were dropped in?
What should be the height of the water after 13 marbles are dropped in?
Is the volume of water a linear relationship with the number of marbles dropped in the graduated cylinder? If so, what does the slope of the line mean? If not, explain your reasoning.
1) 1ml % 6 marbles = about 0.17ml so the volume per marble is 0.17ml 2) 10-(0.17x4) = 9.32 so that is the original volume 3) then 9.32 + (0.17 x 13) = 11.53ml 4) it is linear because for every marble placed inside the cylinder the volume increases by about 0.17ml the slope means amount of marbles placed vs. volume in cylinder
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