Solve the problem.Research has shown that the likelihood of adult alcohol abuse is related to the amount of corporal punishment received as a teenager. This relationship can be described by the model f(n) = 1.3 + 29where P = f(n) represents the percent chance of adult alcohol abuse for a person that experienced n incidents of corporal punishment as a teenager.i) Is f an increasing function, decreasing function, or neither? What does this mean in terms of alcohol abuse?ii) Use the model to estimate the percent chance of adult alcohol abuse for a person that experienced 4 incidents of corporal punishment as a teenager.iii) Find a formula for f-1.iv) Find f-1(35). What does your

Question

result represent in terms of alcohol abuse?

What will be an ideal response?

Answer 1

i) f is an increasing function. This means that the more corporal punishment a person experienced as a teenager, the greater the chance of adult alcohol abuse.
ii) 32%
iii) f^-1(P) = ²
iv) f^-1(35) = 21.30; People that experienced 21 incidents of corporal punishment as teenagers have a 35 percent chance of adult alcohol abuse.