Question

Two taxi companies are competing in the same city to be the only taxi service. Taxi A charges $8.00 plus $1.30 per mile. Taxi B charges $2.40 per mile. a) write an expression to represent the total cost of any given number of miles(m). Taxi A___________ Taxi B____________b) What will be the total cost for Taxi A to take you 5 miles? C) What would be the cost for Taxi B to take you 20 miles?

Answer 1

a) You have the following costs of two taxy companies:

- Taxi A: charge of $8.00 plus $1.30 per mile

- Taxi B: only $2.40 per mile

In order to write an expression for the previous costs, you consider that variable x is the number of miles in a travel. Thus, you have:

cost taxi A = 8.00 + 1.30x

cost taxi B = 2.40x

That is, for taxi A, the cost is $8.00 plus $1.30 per mile (1.30x) and for taxi B, the cost is $2.40 per mile (2.40x).

b) The total cost of taxi A for 5 miles is calculated simply by replacing x=5 in the formula for taxi A:

cost taxi A = 8.00 + 1.30(5) = 14.5

Hence, the cost will be of $14.5

c) The same as before, you replace x in the formula for taxi B, just as follow:

cost taxi B = 2.40(20) = 48

Hence, the cost would be of $48