Question
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2. a) Samantha decides to pay with her credit card while in New York City. She spends \( \$ 250 \) on her credit card over 10 transactions. Each transaction is exactly \( \$ 25 \) each. For every purchase she makes on her credit card, she is charged a \( 4 \% \) service fee. How much is the service fee on each purchase? b) How much did Samantha pay in service fees in total? c) If a foreign currency exchange counter was to charge her a flat rate of \( \$ 5.00 \) to exchange her cash from CAD into USD, is it a better option for Samantha to use cash or credit card while traveling? Explain.

Ask by Rodriquez Whittaker. in Canada
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

a) The service fee on each $25 purchase is $1. b) Samantha paid a total of $10 in service fees. c) Using a credit card is better for Samantha because the total service fee ($10) is less than the $5 flat rate charged by the foreign currency exchange counter.

Solution

a) To find the service fee on each purchase, we need to calculate \( 4\% \) of the transaction amount. Given: - Transaction amount = $25 - Service fee percentage = 4% Service fee on each purchase = \( 4\% \times \$25 \) b) To find the total service fee paid by Samantha, we need to calculate the service fee for each transaction and then sum them up. Total service fee = Service fee on each purchase * Number of transactions c) To determine if it is better for Samantha to use cash or credit card while traveling, we need to compare the total service fee paid with the flat rate charged by the foreign currency exchange counter. If the total service fee paid is less than the flat rate charged, it is better to use cash. Otherwise, it is better to use credit card.

Reviewed and approved by the UpStudy tutoring team

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The Deep Dive

To calculate the service fee on each \( \$ 25 \) purchase, you multiply the transaction amount by the service fee percentage. So, \( 4\% \) of \( \$ 25 \) equals \( 0.04 \times 25 = \$ 1.00 \). Each purchase incurs a service fee of \( \$ 1.00 \). Now, for the total service fees Samantha paid on her 10 transactions, multiply the fee per transaction by the number of transactions. That's \( \$ 1.00 \times 10 = \$ 10.00 \). So, in total, Samantha ended up paying \( \$ 10.00 \) in service fees. When comparing the credit card option to using cash with a flat exchange fee of \( \$ 5.00 \): If she uses cash, she pays \( \$ 5.00 \) once, while using her credit card costs her \( \$ 10.00 \) in fees for those 10 transactions. Therefore, using cash is the better option for Samantha, saving her \( \$ 5.00 \) in fees for the trip!

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