Question

in a public health initiative aimed at reducing cardiovascular disease, a local clinic offers free heart health screenings. during the first month, they screened 500 individuals, with 103 of them found to have elevated blood pressure. in the following three months, they significantly increased their efforts and screened a total of 2,000 individuals, resulting in 308 people having elevated blood pressure. what can be said about the rate of individuals with elevated blood pressure in the first month compared to the subsequent three months? the rate is approximately 3 times higher in the first month than the following three months. the rate is approximately 3 times higher in the following three months than the first month. the rate is approximately \\(\frac{4}{3}\\) times higher in the first month than the following three months. the rate is approximately \\(\frac{4}{3}\\) times higher in the following three months than the first month.

Explanation:

Step1: Calculate first month rate

The rate for the first month is the number of individuals with elevated blood pressure divided by the total number of individuals screened. So, for the first month, that's $\frac{103}{500}$. Let's calculate that: $103 \div 500 = 0.206$.

Step2: Calculate subsequent three months rate

For the subsequent three months, the rate is $\frac{308}{2000}$. Calculating that: $308 \div 2000 = 0.154$.

Step3: Compare the two rates

Now, we want to see how many times higher the first month's rate is than the subsequent three months' rate. So we divide the first month's rate by the subsequent three months' rate: $\frac{0.206}{0.154} \approx \frac{4}{3} \approx 1.333$. So the first month's rate is approximately $\frac{4}{3}$ times higher than the subsequent three months' rate.

Answer:

The rate is approximately $\frac{4}{3}$ times higher in the first month than the following three months.