High School

In Apex City, there are 244,000 48-year-olds. Based on the table below, how many are not expected to be alive in a year?

[tex]
\[
\begin{tabular}{|c|c|c|}
\hline
\multicolumn{3}{|c|}{\text{Expected Deaths per 100,000 Alive at Specified Age}} \\
\hline
\text{Age} & \text{Expected Deaths Within 1 Year} & \text{Expected to be Alive in 1 Year} \\
\hline
15 & 63 & 99,937 \\
16 & 79 & 99,921 \\
17 & 91 & 99,909 \\
18 & 99 & 99,901 \\
19 & 103 & 99,987 \\
20 & 106 & 99,894 \\
21 & 110 & 99,890 \\
22 & 113 & 99,887 \\
23 & 115 & 99,885 \\
24 & 117 & 99,883 \\
25 & 118 & 99,882 \\
26 & 120 & 99,880 \\
27 & 123 & 99,877 \\
28 & 127 & 99,873 \\
29 & 132 & 99,868 \\
45 & 315 & 99,685 \\
46 & 341 & 99,659 \\
47 & 371 & 99,629 \\
48 & 405 & 98,505 \\
49 & 443 & 99,557 \\
\hline
\end{tabular}
\]
[/tex]

(Note: The expected deaths for 48-year-olds are 405 per 100,000 individuals.)

Answer :

We start with the following information:

- The number of 48-year-olds in Apex City is
[tex]$$P = 244,\!000.$$[/tex]
- The expected death rate for 48-year-olds is
[tex]$$405$$[/tex]
deaths per 100,000 individuals.

To determine the number of 48-year-olds not expected to be alive in one year (i.e., the expected deaths), we first convert the death rate to a fraction by dividing by 100,000. This gives us:

[tex]$$
\text{Death Rate Fraction} = \frac{405}{100,\!000}.
$$[/tex]

Multiplying this fraction by the population gives the expected number of deaths:

[tex]$$
\text{Expected Deaths} = P \times \frac{405}{100,\!000} = 244,\!000 \times \frac{405}{100,\!000}.
$$[/tex]

Performing the multiplication:

[tex]$$
\text{Expected Deaths} = 244,\!000 \times 0.00405 \approx 988.2.
$$[/tex]

Since we are talking about people, we can round the result to the nearest whole number. Thus, approximately 988 individuals are not expected to be alive in one year.

Therefore, the final answer is approximately [tex]$\boxed{988}$[/tex] individuals.