Due to smoking a terminally ill patient loses approximately 2% of his lung capacity every 1 month at this rate begining at 100%
capacity what will the patients lung capacity be in one year (12 months) remeber the formula for exponential decay is y=a(1-r)^x a. 69.4%
b. 76.0%
c. 88.6%
d. 78.5%
Because the patient loses 2% every month. There’s 12 months in a year. 2 x 12 is 24. In a year he loses 24 percent, 100%- 24% = 76%. Which the answer the rest to be 76%
We are told that varies Inversely with thus generally speaking ∝ since they are inverted, <u>otherwise</u> if they were proportionally varied then ∝. This means that there is a constant value ( ) for which is inversely proportional to and can be mathematically expressed as:
Eqn. (1)
Now since we are given the values of and , we can plug them in Eqn. (1) and find our constant of proportionality as follow:
Now that we have our constant we can find the new value for the second value of as follow:
Therefore based on the options give, we can see that Option B. is correct since