An insurance company charges a 35-year old non-smoker an annual premium of $118 for a $100,000 term life insurance policy. the premiums for 45-year olds and 55-year old no smokers are $218 and $563, respectively. write a quadratic model for the premium p as a function of age a.

Step-by-step explanation:

Let premium p for age of a , (p,a)

# An insurance company charges a 35-year old non-smoker an annual premium of $118 for a $100,000 term life insurance policy.

(35,118)

# An insurance company charges a 45-year old non-smoker an annual premium of $218 for a $100,000 term life insurance policy.

(45,218)

# An insurance company charges a 55-year old non-smoker an annual premium of $563 for a $100,000 term life insurance policy.

(55,563)

Let quadratic model be p=Aa²+Ba+C

Substitute the points into equation

-------------(1)

-------------(2)

-------------(3)

Solve system of equation and find out A, B and C using calculator.

Quadratic model:

you should at least use a calculater

step-by-step explanation:

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step-by-step explanation: