a. percentage of adult height attained by girls who are x years old can be molded by
f(x)=62+35log(x-4), x represents the girls age (5to 15) f(x)represents the percentage of
her adult height. The approx percent of her adult height is ___%.
With the information given, I can only assume that the intent is to calculate the
percentage at each end of the age range, and present the answer as a range of
percents:
Age 5: f(5)=62+35log(5-4) = 62 + 35log(1) = 62 + 35(0) = 62%
Age 15: f(15)=62+35log(15-4) = 62 + 35(1.0414) = 62 + 36.45 = 98.45%
Approximate percent of her adult height is 62% to 98.45%
b. logyx^4 simplify
log y x 4 = 4 log y x
! c. 10^x=3.31 what is the solution in terms of natural logarithms. The solution set is { }
10 x = 3.31
ln(10 x ) = ln( 3.31)
x ln(10) = ln( 3.31)
x=
!
ln( 3.31)
ln(10)
d. log3x=4 the solution set { }
log 3 x = 4
3log 3 x = 34
x = 34
x = 81
! e. model A=257.8e^0.018t describes the population A, county in millions, T years after
2003. The population of the country in 2003 was ______million
In the year 2003, t = 2003 – 2003 = 0
A = 257.8e 0.018t
A = 257.8e 0.018(0)
A = 257.8e 0
A = 257.8
The population of the country in 2003 was 257.8 million.
!