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Paladinen [302]
3 years ago
7

Data from the Centers for Medicare and Medicaid Services indicates that the annual per capita out-of-pocket expenses for health

care can be approximated by y=39.6x+543 dollars, where x is the number of years past the year 2000. When are the per capita out-of-pocket expenses for health care predicted to be $1400?
Mathematics
1 answer:
Talja [164]3 years ago
3 0

Answer:

During the year 2021.

Step-by-step explanation:

As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.

Knowing that, <u>we clear x</u> (<em>this is the number of years past the year 2000, so it will contain our desired information</em>).

y=39.6x+543\Leftrightarrow x=\frac{y-543}{39.6}

Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and <em>this total is our variable y</em>, then

x=\frac{1400-543}{39.6}\approx 21.6

Finally, we know that <u>x is the number of years past the year 2000</u>, so the answer is that during the year 2021, <em>the per capita out-of-pocket expenses for health care are predicted to be $1400</em>.

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