Question

question 21 (3 points)
the table shows the national expenditures for health care, in billions, in a country for selected years from 1995 with projections to 2020. the data can be modeled by
y = 134.823x + 131.267 with x equal to the number of years after 1990 and y equal to the expenditures for health care in billions of dollars.

year	expenditures ($ billions)
2000	1346
2005	1975
2010	2949
2015	3261
2020	4394

what does this model predict the expenditure will be in 2016?

• 7008.347 billion
• 3802.726 billion
• 7122.059 billion
• 3636.665 billion

Explanation:

Step1: Determine x for 2016

x is years after 1990. 2016 - 1990 = 26. So x = 26.

Step2: Substitute x into the model

The model is \( y = 134.823x + 131.267 \). Substitute x = 26:
\( y = 134.823(26) + 131.267 \)
Calculate \( 134.823 \times 26 = 3505.398 \)
Then \( 3505.398 + 131.267 = 3636.665 \)

Answer:

3636.665 billion