16. The population of bacteria in a petri dish is modeled by the function \( B ( t ) = 300 ( 2 ) ^ { t } , \) where \( t \) represents time in hours and \( B ( t ) \) represents the population of the bacteria. What's the average rate of change in the population from \( t = 1 \) to \( t = 3 \) ?
A. \( 900 \) bacteria per hour
B. \( 1,800 \) bacteria per hour
C. \( 300 \) bacteria per hour
D. \( 600 \) bacteria per hour
A) 900 bacteria per hour
Find the inverse for each of the following functions.
\(f ( x ) = 3 x + 1\)
\(g ( x ) = 1 x ^ { 3 } - 5\)
\(h ( x ) = \frac { 3 } { x + 5 }\)
\(j ( x ) = \sqrt[ 3 ] { x + 1 }\)
The total revenue from the sale of a popular book is approximated by the rational function \( R ( x ) = \frac { 1700 x ^ { 2 } } { x ^ { 2 } + 4 } \) , where \( x \) is the number of years since publication and \( R ( x ) \)
is the total revenue in millions of dollars.
(a) Find the total revenue at the end of the first year.
(b) Find the total revenue at the end of the second year.
