Question

The taxi fare in Atlanta is $2.40 for the first 1/2 miles and additional mileage
charged at the rate $0.20 for each additional 0.1 mile. You plan to give the
driver a $2 tip.
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TAXI
The Uber base fare is $1. There is a charge of $1.05 per mile. You also plan to give the
driver a $2 tip
UBER
Task 1 Student Directions:
Part A: Write an expression to represent the amount of money need to take a taxi or take Uber.
(x = the number of miles.)
Taxi Expression:
Uber Expression:

Answer 1

The taxi expression is 2.40 + 2 + 0.2 x $\frac{x- 0.5}{0.1}$ and the Uber expression is 1 + (1.05x) + 2

To write an expression all factors involved in a mathematical operation should be considered and these factors should be related correctly. In this case, the factors to be considered are:

• Base fare
• Rate per mile
• Tip

Now, let's write the expressions for each of these:

Taxi fare

2.40 + 2 + 0.2 x $\frac{x- 0.5}{0.1}$   = taxi fare

The taxi fare is equal to the sum of the first charge 2.40, the tip, and then the rate of 0.2 for every 0.1 miles. This rate should be calculated by dividing the number of miles (x) into the unit considered (0.1), also you need to subtract the first 0.5 miles and this result is multiplied by the rate ($0.20).

Uber fare

1 + (1.05x) + 2 = uber fare

The taxi fare is equal to the sum of the base fare (1), the tip (2), and the fare per mile represented as 1.05 x (miles is represented by x).

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