The polynormial 0.041h-0.018a-2.69 can be used to estimate the lung capacity in liters of a female with height h, in cetimeters, and age a, in years. Find the lung capacity of a 40-year old woman who is 190 centimeters tall. Round to the nearest hunderd.
To find the lung capacity of a 40-year old woman who is 190 centimeters tall using the given polynomial, we need to substitute the values of h and a into the polynomial and calculate the result.
Given:
Polynomial: 0.041h - 0.018a - 2.69
h (height) = 190 centimeters
a (age) = 40 years
Substituting these values into the polynomial:
0.041(190) - 0.018(40) - 2.69
Let's calculate each part and then add or subtract them accordingly:
1. 0.041(190) = 7.79
2. 0.018(40) = 0.72
Now let's substitute these values back into the original equation:
7.79 - 0.72 - 2.69
Calculating each part:
1. 7.79 - 0.72 = 7.07
2. 7.07 - 2.69 = 4.38
Therefore, the lung capacity of a 40-year-old woman who is 190 centimeters tall, rounded to the nearest hundred, is 4.38 liters.