The table lists how poverty level income cutoffs(in dollars) for a family of four have changed over time. Use the midpoint formula to approximate the poverty level cutoff in 1987 to the nearest dollar. the poverty level cutoff in 1987 was _____ dollars. ( round to the nearest dollar as needed. year income (in dollars) 1970 3073 1980 8558 1990 13807 2000 17864 2004 19196
To use the midpoint formula, we need to find the average of the income cutoffs for adjacent years.
For the year 1987, the closest years with known income cutoffs are 1980 and 1990.
The midpoint formula is: (income in year A + income in year B) / 2.
Using this formula:
(8558 + 13807) / 2 = 11432.5.
Rounding this to the nearest dollar, the poverty level cutoff in 1987 was approximately 11,433 dollars.
To approximate the poverty level cutoff in 1987 using the midpoint formula, we need to calculate the average of the income values for 1980 and 1990.
Step 1: Determine the income values for 1980 and 1990.
- 1980 income: $8,558
- 1990 income: $13,807
Step 2: Apply the midpoint formula to calculate the average.
Average = (1980 income + 1990 income) / 2
= ($8,558 + $13,807) / 2
= $22,365 / 2
= $11,182.5
Step 3: Round the average value to the nearest dollar.
The poverty level cutoff in 1987 is approximately $11,183.
Therefore, the poverty level cutoff in 1987 was approximately $11,183.