Respuesta :
Max earns a few extra bucks by painting houses. He charges his customers using the following rates:
[tex]\begin{gathered} \text{Base Job Fee = \$200} \\ \text{Rate =\$}\frac{12}{can} \end{gathered}[/tex]Max charges a basic job fee and a rate to the number of cans of paint required for the completion of job.
We will denote the number of cans of paint required to complete a job as:
[tex]\text{Number of cans required = x}[/tex]Lets assume Max gets some paint job. Over the job he used ( x ) number of cans to complete. At the end of the job he charges a receipt to the customer. He will formulate the following relation to charge the customer:
[tex]\begin{gathered} \text{Total receipts = Base Job Fee + Rate}\cdot x \\ \text{\textcolor{#FF7968}{Total receipts = \$200 + \$}}\textcolor{#FF7968}{\frac{12}{can}\cdot x} \end{gathered}[/tex]We will use the above expression to evaluate the number of cans Max needs to complete a job for a receipt off ( $260 ):
[tex]\begin{gathered} \text{ \$260 = \$200 + \$}\frac{12}{can}\cdot x \\ 60\text{ = }\frac{12}{can}\cdot x \\ x\text{ = }\frac{60}{12} \\ \textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = 5 cans}} \end{gathered}[/tex]Max will require:
[tex]\textcolor{#FF7968}{5}\text{\textcolor{#FF7968}{ cans}}\text{ for the job of \$260}[/tex]
