Question

Bridget needs an actor. Actor A is offering her services for an initial $250 in addition

to $50 per day. Actor B is offering her services for an initial $200 in addition to $60
per day. When will the two actors charge the same amount of money?

Answer 1

`\textit{Actor A charges 250 plus 50 per day} \\ \quad \\ \begin{array}{llll} days&charge \\---&---\\ 1&50\cdot 1\\ 2&50\cdot 2\\ 3&50\cdot 3\\ 4&50\cdot 4\\ d&50\cdot x\implies 50d \end{array}\quad meaning\implies A=250+50d`


`\textit{Actor B charges 2500 plus 60 per day} \\ \quad \\ \begin{array}{llll} days&charge \\---&---\\ 1&60\cdot 1\\ 2&60\cdot 2\\ 3&60\cdot 3\\ 4&60\cdot 4\\ d&60\cdot x\implies 60d \end{array}\quad meaning\implies B=200+60d \\ \quad \\ when\ is A=B?\qquad well \\ \quad \\ 250+50d\quad =\quad 200+60d\impliedby \textit{solve for days`