
Ty D. answered 10/17/18
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*The independent variable is age and the dependent variable is the annual cost of health insurance.
*The domain as given in the problem, was for ages between 15 and 90 (including 15 and 90).
*To find the health insurance cost for a 30 year old, let a=30 and evaluate the expression:
H(a) = 22.6a - 119.2
H(30) = 22.6 * 30 - 119.2
H(30) = 558.8
The annual health insurance cost for a 30 year old is $558.80.
*To find the age of an individual whose annual health insurance cost is $1304.60, let H(a) = 1304.6 and solve for a:
H(a) = 22.6a - 119.2
1304.6 = 22.6a - 119.2
1423.8 = 22.6a
63 = a
63 is the age of an individual with an annual health insurance premium of $1304.60.