Question

Most people know their chances of getting cancer increase as they age. Data compiled by the National Cancer Institute shows that the incidence of cancer increases dramatically between the ages of 35 and 80. In 2001, the number of cancer cases (per 100,000 people) in women age 20 is 33, and for women age 65 the number of cancer cases (per 100,000 people) is 1353.

1.Let ??(??) be the function that models this situation. Find an equation for ??(??). Clearly define the variables.

2.At the age of 35, how many cancer cases per 100,000 people does your model predict?

3.The exponential model you found above should be in the form ??(??) = ????^??. Explain the meaning of ?? and ?? in the context of the situation and discuss how they relate to the graph of ??(??).

4.Find the value of ??^?1(50) and explain the meaning in the context of the situation

Answer 1