You are the manager of a movie theatre. You sell tickets at two prices: a regular price,`r,` and a matinee price,`m.`Last Saturday, 100 regular price tickets were sold and 150 matinee tickets were sold for a total profit of $2200. This Saturday, 150 regular price tickets were sold and 100 matinee tickets were sold for a total profit of $2300. What is the price of each ticket? Show your reasoning.

Galen sold tickets of his church’s carnival for a total of $2,820. children’s tickets cost $3 each and adult tickets cost $5 each. the number of children’s tickets sold was 30 more than 3 times the number of adult tickets slod. how many children’s ticket and how many adult tickets did he sell?

Ascientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. each replicated organism also replicates at the same rate. at hour one, there is one organism. at hour two, there are five more organisms. how many total organisms are there at hour seven? 2,801 19,531 19,607 97.655

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x