I solved the problem a little like how they did in solution 2, only I used the problem solving strategy “Guess and Check.” I started with an random number between 0 and 38.5: The container was filled to a depth of 30 cm. 10% of 30 is 3 and 30 + 3 = 33 cm. Therefore the water would have a depth of 33 cm when it froze. From doing this, I knew that the water’s depth had to be between 30 cm and 38.5 cm. Then I decided to try a depth of 32 cm. 10% = 3.2 and 32 + 3.2 = 35.2 cm when frozen (too low, still). A depth of 34 cm: 10% = 3.4 and 34 + 3.4 = 37.4 cm when frozen (getting closer). Because I was very close to a depth of 38.5 cm when frozen, I decided to only go up 1 cm in depth this time (35 cm): 10% = 3.5 and 35 + 3.5 = 38.5 cm when frozen. Therefore, the container needs to be filled to a depth of 35 cm so that when the water freezes, the ice will not go above the top of the container.
I solved the problem a little like how they did in solution 2, only I used the problem solving strategy “Guess and Check.”
ReplyDeleteI started with an random number between 0 and 38.5: The container was filled to a depth of 30 cm. 10% of 30 is 3 and 30 + 3 = 33 cm. Therefore the water would have a depth of 33 cm when it froze. From doing this, I knew that the water’s depth had to be between 30 cm and 38.5 cm.
Then I decided to try a depth of 32 cm. 10% = 3.2 and 32 + 3.2 = 35.2 cm when frozen (too low, still).
A depth of 34 cm: 10% = 3.4 and 34 + 3.4 = 37.4 cm when frozen (getting closer).
Because I was very close to a depth of 38.5 cm when frozen, I decided to only go up 1 cm in depth this time (35 cm): 10% = 3.5 and 35 + 3.5 = 38.5 cm when frozen.
Therefore, the container needs to be filled to a depth of 35 cm so that when the water freezes, the ice will not go above the top of the container.
Thanks for putting on the answers so that I could compare mine!
DeleteGreat effort Katherine. "Guess and Check" is a good strategy as well.
ReplyDelete