3. Andre wants to save \( \$ 40 \) to buy a gift for his dad. Andre's neighbor will pay him weekly to mow the lawn, but Andre alweys gives a \( \$ 2 \) donation to the food bank in weeks when he earns money. Andre calculates that it will take him \( 5 \) weeks to earn the money for his dad's gitt. He draws a tape diagram to represent the situation.
a. Explain how the parts of the tape diagram represent the story.
He will receive a salary of $x per week and donate $2 to the food bank. Therefore, he earns a net of (x - 2) dollars per week. after 5 weeks, he has 5(x - 2) dollars, or 40 dollars.
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.
