\(3.3 \) Dimes and Quarters
Jada had some dimes and quarters that had a total value of \( \$ 12.50 \) . The relationship between the number of dimes, \( d \) , and the number of quarters, \( q \) , can be expressed by the equation \( 0.1 d + 0.25 q = 12.5 \) .
3. Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with \( d = \ldots . \) ) that you can use to determine the output, \( d \) , from a given input, \( q \) . If no, explain why not.
d=125-2.5q
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.
