a. Answer 18.85 m i l e s . Explanation Given: The maximum amount expends for booking the taxi is under $ 35 . Initial fare $ 2.00 Mileage charge $ 1.75 Calculation: According to the question, the initial fare for taxi is $ 2.00 and the mileage charge is $ 1.75 . As the maximum amount expends for booking the taxi is under $ 35 . Since, the minimum fare for booking taxi is $ 2.00 , therefore, the rest amount is $ 35 − 2 = $ 33 . Therefore, the maximum distance covered by taxi is d max = 33 1.75 = 18.85 miles Therefore, the total distance covered by taxi is 18.85 m i l e s . b. To determine To check: whether the Samantha has enough money to cover the fare. Answer No. Explanation Given: The maximum amount expends for booking the taxi by Samantha is $ 21 . And the total distance covered is 21 m i l e s . Initial fare $ 2.00 Mileage charge $ 1.75 Calculation: According to the question, the initial fare for taxi is $ 2.00 and the mileage charge is $ 1.75 . Since, the minimum fare for booking taxi is $ 2.00 , therefore, the rest amount is $ 21 − 2 = $ 19 . Therefore, the total fare for covered to $ 21 by taxi is 21 × 1.75 = $ 36.75 . Therefore, the amount needed to cover the total distance is $ 36.75 − $ 19 = $ 17.75 . No, the Samantha has not enough money to cover the fare.

1st Edition

ISBN: 9780076639908

Author: McGraw-Hill Glencoe

Publisher: MCG

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Question

Chapter SH, Problem 1.22EP

To determine

To find: the total distance covered by taxi as per Shannon’ s condition.

Expert Solution

Answer to Problem 1.22EP

$18.85 miles$ .

Explanation of Solution

Given:

The maximum amount expends for booking the taxi is under $$35$ .

Initial fare	$$2.00$
Mileage charge	$$1.75$

Calculation:

According to the question, the initial fare for taxi is $$2.00$ and the mileage charge is $$1.75$ .

As the maximum amount expends for booking the taxi is under $$35$ .

Since, the minimum fare for booking taxi is $$2.00$ , therefore, the rest amount is $$35−2=$33$ .

Therefore, the maximum distance covered by taxi is $dmax=331.75=18.85 miles$

Therefore, the total distance covered by taxi is $18.85 miles$ .

To determine

To check: whether the Samantha has enough money to cover the fare.

Expert Solution

Answer to Problem 1.22EP

No.

Explanation of Solution

Given:

The maximum amount expends for booking the taxi by Samantha is $$21$ .

And the total distance covered is $21 miles$ .

Initial fare	$$2.00$
Mileage charge	$$1.75$

Calculation:

According to the question, the initial fare for taxi is $$2.00$ and the mileage charge is $$1.75$ .

Since, the minimum fare for booking taxi is $$2.00$ , therefore, the rest amount is $$21−2=$19$ .

Therefore, the total fare for covered to $$21$ by taxi is $21×1.75=$36.75$ .

Therefore, the amount needed to cover the total distance is $$36.75−$19=$17.75$ .

No, the Samantha has not enough money to cover the fare.

Chapter SH, Problem 1.21EP

Chapter SH, Problem 1.23EP

Chapter SH Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. SH - Prob. 1.1EP Ch. SH - Prob. 1.2EP Ch. SH - Prob. 1.3EP Ch. SH - Prob. 1.4EP Ch. SH - Prob. 1.5EP Ch. SH - Prob. 1.6EP Ch. SH - Prob. 1.7EP Ch. SH - Prob. 1.8EP Ch. SH - Prob. 1.9EP Ch. SH - Prob. 1.10EP

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