Chapter 4.5, Problem 12P

A taxicab charges $4.25 for the first mile and $1.50 for each additional mile. Write a rule for describing the total rate $r$ as a function of the total miles $m$

What is the taxi rate for 12 miles?

To determine

The function that describe the total rate as function of total distance in miles and taxi rate for 12 miles.

Answer to Problem 12P

The function of rate is $r=4.25+1.5m$ .

The rate for 12 miles is $22.25.

Explanation of Solution

Given:

First mile charge is $4.25.

Additional mile charge is $1.50 per mile.

Calculation:

Consider the rate and miles as r and m respectively.

The function is expressed as follows:

  $\begin{array}{c}r=\text{First mile charge}+\text{Additional mile charge}\\ =4.25+1.5m\end{array}$

Thus, the function of rate is $r=4.25+1.5m$ .

Taxis rate for 12 miles is calculated as follows:

  $\begin{array}{c}r=4.25+1.5m\\ =4.25+1.5\left(12\right)\\ =\$22.25\end{array}$

Thus, the rate for 12 miles is $22.25.