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?

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Answer 1 · 2016-10-27T16:31:05

$"Total charge "=$4.25+$1.50(m-1)$

$"Total charge for 12 miles " =" "$20.75$

$color(blue)("Building the rule")$

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+$1.50(m-1)$

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$color(blue)("Determine the charge for 12 miles")$

$" Total charge "=$4.25+$1.50(12-1)$

$" Total charge "=$4.25+$1.50(11)$

$" Total charge for 12 miles "=$4.25+$16.50" " =" "$20.75$