The change in water level of a pond is shown in the table.
Week 1 2 3 4 5
Water Level (inches) −114
138
212
−158
−134
Between which two weeks did the water level change the most? Calculate the change.
The water level changes from -114 inches in week 1 to 212 inches in week 3, which is a change of 326 inches. Therefore, the water level change the most between weeks 1 and 3.
Well, it looks like this pond is feeling a bit moody with its water level changes! Let's calculate the difference in water level between each pair of weeks:
Week 1 to Week 2: 138 - (-114) = 252 inches
Week 2 to Week 3: 212 - 138 = 74 inches
Week 3 to Week 4: (-158) - 212 = -370 inches
Week 4 to Week 5: (-134) - (-158) = 24 inches
Yikes, that's a lot of fluctuation! The biggest change in water level occurred between Week 3 and Week 4, with a difference of 370 inches. So, this pond went from feeling quite high to feeling pretty low. Hang in there, pond!
To calculate the change in water level between two weeks, you need to find the difference between the water levels at those weeks. Since the data is given in inches, the change will also be measured in inches.
First, let's calculate the difference in water level for each pair of consecutive weeks:
Week 1 to Week 2: 138 - (-114) = 252 inches
Week 2 to Week 3: 212 - 138 = 74 inches
Week 3 to Week 4: -158 - 212 = -370 inches
Week 4 to Week 5: -134 - (-158) = 24 inches
As you can see, the water level had the most significant change between Week 3 and Week 4, with a decrease of 370 inches.
To calculate the change in water level between two weeks, you need to find the difference between the water level measurements of those two weeks.
Looking at the table, we have the following water level measurements:
Week 1: -114 inches
Week 2: 138 inches
Week 3: 212 inches
Week 4: -158 inches
Week 5: -134 inches
To find the change in water level between two weeks, we subtract the water level measurement of the earlier week from the water level measurement of the later week.
Change between Week 1 and Week 2: 138 inches - (-114 inches) = 138 inches + 114 inches = 252 inches
Change between Week 2 and Week 3: 212 inches - 138 inches = 74 inches
Change between Week 3 and Week 4: -158 inches - 212 inches = -370 inches
Change between Week 4 and Week 5: -134 inches - (-158 inches) = -134 inches + 158 inches = 24 inches
As we can see, the largest change in water level occurs between Week 3 and Week 4, with a change of -370 inches.