The usual estimate that each human-year corresponds to 7 dog-years is not very accurate for young dogs, since they quickly reach adulthood. A more accurate formula for converting human-years x into dog-years is shown below.The following function expresses dog-years as 10.5 dog-years per human-year for the first 2 years and then 4 dog-years per human-year for each year thereafter. f(x) =    10.5x   if  0 ≤ x ≤ 2 21 + 4(x − 2)   if  x > 2 (a) Find the number of dog-years corresponding to the following amounts of human time: 8 months, 1 year and 10 months, 3 years, 10 years. 8 months             dog-years 1 year and 10 months       dog-years 3 years   dog-years 10 years   dog-years

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The usual estimate that each human-year corresponds to 7 dog-years is not very accurate for young dogs, since they quickly reach adulthood. A more accurate formula for converting human-years x into dog-years is shown below.
The following function expresses dog-years as 10.5 dog-years per human-year for the first 2 years and then 4 dog-years per human-year for each year thereafter.

f(x) = 
 
10.5x   if  0 ≤ x ≤ 2
21 + 4(x − 2)   if  x > 2
(a) Find the number of dog-years corresponding to the following amounts of human time: 8 months, 1 year and 10 months, 3 years, 10 years.
8 months             dog-years
1 year and 10 months       dog-years
3 years   dog-years
10 years   dog-years
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