SOLUTION: Suppose that N= cube-root (x) + 2x + 2 models the number of cases of an infection, in millions, of a disease x years from now. a) Approximately how many cases of the infection

Question 196742: Suppose that N= cube-root (x) + 2x + 2 models the number of cases of an infection, in millions, of a disease x years from now.
a) Approximately how many cases of the infection will there be 16 years from now?
b) In approximately how many years will there be 7 million cases?
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
a)

million
b) You could solve this algebraically and the plot it OR you could think a little and find the answer emperically (trial and error). In this case, trial and error is quicker.
Try 1. Then N = 1+2+2 = 5 (not quite 7)
Try 2. Then N = 1.25+4+2 = 7.25
So the answer is 'a little less than 2 years'.
Try 1.9. Then N = 1.23 + 3.8 + 2 = 7.03
Close enough for me. 1.9 years works :)
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