High School

In Apexville, there are 260,000 45-year-olds. Based on the table below, how many are not expected to be alive in a year?

[tex]\[
\begin{tabular}{|c|c|c|}
\hline
\textbf{Age} & \textbf{Expected Deaths Within 1 Year} & \textbf{Expected to be Alive in 1 Year} \\
\hline
15 & 63 & 99,937 \\
16 & 79 & 99,921 \\
17 & 91 & 99,909 \\
18 & 99 & 99,901 \\
19 & 103 & 99,897 \\
20 & 106 & 99,894 \\
21 & 110 & 99,890 \\
22 & 113 & 99,887 \\
23 & 115 & 99,885 \\
24 & 117 & 99,883 \\
25 & 118 & 99,882 \\
26 & 120 & 99,880 \\
27 & 123 & 99,877 \\
28 & 127 & 99,873 \\
29 & 132 & 99,868 \\
45 & 315 & 99,685 \\
46 & 341 & 99,650 \\
\hline
\end{tabular}
\][/tex]

(Note: The table provided only includes data for certain ages, particularly 45 and 46, which are relevant to this problem.)

Answer :

To determine how many 45-year-olds in Apexville are not expected to be alive in a year, we can break down the problem step-by-step:

1. Understand the Data: From the table, we are given that the number of expected deaths within 1 year for 45-year-olds is 315 out of every 100,000 individuals.

2. Know the Total Population: We are provided that there are 260,000 45-year-olds currently living in Apexville.

3. Calculate Expected Deaths: We need to find out how many of these 260,000 individuals are expected to die within the year. This can be calculated using the proportion given for expected deaths:
- We have 315 expected deaths per 100,000 people.
- First, convert the rate to apply it to 260,000 individuals: [tex]\((315/100,000) \times 260,000\)[/tex].

4. Compute the Result:
- Perform the calculation: [tex]\((315/100,000) \times 260,000 = 819\)[/tex].
- This means, out of the 260,000 current 45-year-olds, about 819 individuals are not expected to be alive in a year.

Therefore, approximately 819 45-year-olds in Apexville are not expected to be alive after one year.