# A taxicab charges $4.25 for the first mile and$1,50 for each additional mile. Write a rule for describing the total rater as a function of the total miles m. What is the taxi rate for 12 miles?

"Total charge "=$4.25+$1.50(m-1)
"Total charge for 12 miles " =" "$20.75  #### Explanation: $\textcolor{b l u e}{\text{Building the rule}}$The trick with algebra is to think what you would do with numbers, then substitute letters. Mile number 1 costs $4.25
The rest of the miles =>("total miles "-1)xx$1.50 Putting this all together we have: $4.25 +("total miles "-1)xx$1.50 The question instructs that we are to use the letter m for the total miles so we now have: $4.25 +(m-1)xx$1.50 This would be written as: $4.25 +$1.50(m-1) So " Total charge "=$4.25+$1.50(m-1) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ $\textcolor{b l u e}{\text{Determine the charge for 12 miles}}$" Total charge "=$4.25+$1.50(12-1) " Total charge "=$4.25+$1.50(11) " Total charge for 12 miles "=$4.25+$16.50" " =" "$20.75