The table shows the ammount ( IN dollars) spent by a household on plans and flowers in certain years. ( Time interval means to give a range of years)
A) Determine the time interval during which the amount spent on plans showed the least rate of change.
B) Determine the time interval during which the amount spent on plants showed the greatest rate of change
Table:
Year: 2001, 2002, 2003, 2004, 2005
Amount: 127, 134, 139, 137, 136
Answer for A:
2001, 127.
Answer for B: 2003, 139
Did I do these right?/
Thanks :)
Answer for A: 2004-2005
Do B the same way.
no, the greatest rate was 2001-2001
the least rate was 2003-2004, rate was -2/per year.
To determine the time interval during which the amount spent on plants showed the least rate of change, you need to calculate the difference in amount spent between each year and identify the smallest difference.
To calculate the rate of change, you can subtract the amount spent in one year from the amount spent in the previous year. The result will give you the change in the amount spent for that time interval. Then, you can compare these differences to find the smallest rate of change.
For example, to calculate the rate of change for each year, you can use the following calculations:
2002 - 2001: 134 - 127 = 7
2003 - 2002: 139 - 134 = 5
2004 - 2003: 137 - 139 = -2
2005 - 2004: 136 - 137 = -1
From these calculations, you can see that the smallest rate of change occurs between 2003 and 2004, with a change of -1 dollar. Therefore, the time interval during which the amount spent on plants showed the least rate of change is 2003.
Now, let's move on to determine the time interval during which the amount spent on plants showed the greatest rate of change. Using the same method, calculate the rate of change for each year:
2002 - 2001: 134 - 127 = 7
2003 - 2002: 139 - 134 = 5
2004 - 2003: 137 - 139 = -2
2005 - 2004: 136 - 137 = -1
From these calculations, you can see that the largest rate of change occurs between 2001 and 2002, with a change of 7 dollars. Therefore, the time interval during which the amount spent on plants showed the greatest rate of change is 2001.
Based on your given answers, it seems that you made a mistake in both A and B. The correct answers would be:
A) The time interval during which the amount spent on plants showed the least rate of change is 2004.
B) The time interval during which the amount spent on plants showed the greatest rate of change is 2001.
I hope this clears up any confusion. Let me know if you have any further questions!