Home
Class 12
MATHS
The normal systolic blood pressure P, in...

The normal systolic blood pressure P, in millimeters of mercury, for an adult male x years old can be modeled by the equation `P=(x+220)/2`. According to the model, for every increase of 1 year in age, by how many millimeters of mercury will the normal systolic blood pressure for an adult male increase?

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine how the normal systolic blood pressure \( P \) changes with an increase in age \( x \) by 1 year. The given equation for blood pressure is: \[ P = \frac{x + 220}{2} \] ### Step 1: Define the blood pressure for the current age Let \( P_1 \) be the blood pressure for an adult male who is currently \( x \) years old. Using the equation, we can express it as: \[ P_1 = \frac{x + 220}{2} \] ### Step 2: Define the blood pressure for the next age Now, let \( P_2 \) be the blood pressure for the same adult male when he is \( x + 1 \) years old. We can express this as: \[ P_2 = \frac{(x + 1) + 220}{2} \] ### Step 3: Simplify \( P_2 \) We can simplify \( P_2 \): \[ P_2 = \frac{x + 1 + 220}{2} = \frac{x + 221}{2} \] ### Step 4: Calculate the increase in blood pressure To find the increase in blood pressure when the age increases by 1 year, we calculate the difference \( P_2 - P_1 \): \[ P_2 - P_1 = \frac{x + 221}{2} - \frac{x + 220}{2} \] ### Step 5: Combine the fractions Since both terms have the same denominator, we can combine them: \[ P_2 - P_1 = \frac{(x + 221) - (x + 220)}{2} \] ### Step 6: Simplify the numerator Now, simplify the numerator: \[ P_2 - P_1 = \frac{x + 221 - x - 220}{2} = \frac{1}{2} \] ### Conclusion Thus, the increase in normal systolic blood pressure for an adult male for every increase of 1 year in age is: \[ \frac{1}{2} \text{ mmHg} \text{ or } 0.5 \text{ mmHg} \]

To solve the problem, we need to determine how the normal systolic blood pressure \( P \) changes with an increase in age \( x \) by 1 year. The given equation for blood pressure is: \[ P = \frac{x + 220}{2} \] ### Step 1: Define the blood pressure for the current age Let \( P_1 \) be the blood pressure for an adult male who is currently \( x \) years old. Using the equation, we can express it as: ...
Promotional Banner