College

In Apex City, there are 350,000 48-year-olds. Based on the table below, how many are not expected to be alive in a year?

[tex]
\[
\begin{tabular}{|c|c|c|}
\hline
\multicolumn{3}{|c|}{\text{EXPECTED DEATHS PER 100,000 ALIVE AT SPECIFIED AGE}} \\
\hline
\text{Age} & \text{Expected Deaths Within 1 Year} & \text{Expected to be Alive in 1 Year} \\
\hline
15 & 63 & 99,937 \\
\hline
16 & 79 & 99,921 \\
\hline
17 & 91 & 99,909 \\
\hline
18 & 99 & 99,901 \\
\hline
19 & 103 & 99,897 \\
\hline
20 & 106 & 99,894 \\
\hline
21 & 110 & 99,890 \\
\hline
22 & 113 & 99,887 \\
\hline
23 & 115 & 99,885 \\
\hline
24 & 117 & 99,883 \\
\hline
25 & 118 & 99,882 \\
\hline
26 & 120 & 99,880 \\
\hline
27 & 123 & 99,877 \\
\hline
28 & 127 & 99,873 \\
\hline
29 & 132 & 99,868 \\
\hline
45 & 315 & 99,685 \\
\hline
46 & 341 & 99,659 \\
\hline
47 & 371 & 99,629 \\
\hline
48 & 405 & 99,595 \\
\hline
49 & 443 & 99,557 \\
\hline
\end{tabular}
\]
[/tex]

A. 1,418

Answer :

To find out how many 48-year-olds in Apex City are not expected to be alive in one year, we can use the information provided. Here's a step-by-step explanation of how to approach this:

1. Understand the Given Data:
We know there are 350,000 48-year-olds in Apex City. According to the table, for every 100,000 people aged 48, there are 405 expected deaths within a year.

2. Calculate Expected Deaths:
To find out the total expected deaths among the 350,000 48-year-olds, we use the rate given for 100,000 people.

- First, determine how many groups of 100,000 people are in 350,000. This is found by dividing 350,000 by 100,000:
[tex]\[
\text{Number of groups} = \frac{350,000}{100,000} = 3.5
\][/tex]

- Next, since we know there are 405 deaths expected per 100,000 people, we multiply the number of groups by the expected deaths per group:
[tex]\[
\text{Total expected deaths} = 3.5 \times 405 = 1417.5
\][/tex]

3. Interpret the Result:
Since we're dealing with people, we'd usually round this number to a whole person. In this context, considering a real-world application where partial people do not exist, we can say that about 1418 people are not expected to be alive in a year.

Therefore, in Apex City, approximately 1,418 of the 48-year-olds are not expected to be alive in one year.