Chapter 9.3, Problem 53SR

To determine

Write an expression for the cost to transport the group.

Answer to Problem 53SR

The expression the distance is m miles and t taxis is $2.75t+1.25t(m-1)$ .

Explanation of Solution

Given:

Mr. Wong’s American History class will take taxis from their hotel in Washington, D.C, to the Lincoln Memorial. The fare is $2.75 for the first mile and $1.25 for each additional mile. If the distance is m miles and t taxis are needed.

Concept Used:

The fare is $2.75 for the first mile and $1.25 for each additional mile.

First make a table for the cost for 1, 2, 3, 4, and m miles.

Calculation:

Number of Miles	Cost of Each Taxi	Cost Each Taxi
1	$2.75$	$2.75$
2	$2.75+1.25·1$	4
3	$2.75+1.25·2$	5.25
4	$2.75+1.25·3$	6.50
m	$2.75+1.25·(m-1)$	$\text{C}$

So the equation for the cost one taxi is $\text{C}=2.75+1.25(m-1)$ .

The cost for one taxi is $\text{C}=2.75+1.25(m-1)$ .

Therefore, if t taxi is are needed, the cost to transport the group is $\text{t}·\text{C}$ or $2.75t+1.25t(m-1)$

The expression the distance is m miles and t taxis is $2.75t+1.25t(m-1)$ .

Thus, the expression the distance is m miles and t taxis is $2.75t+1.25t(m-1)$ .