A3 Math gr7 23-24 Form EBR Online

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Question 1

The table and graph below show the proportional relationship between the values of euros and dollars on the first day of two different years, 2013 and 2014.
 



Part A
On the first day of the year, was the currency rate for euros per dollar greater in 2013 or 2014? Justify your answer using the rates for this day in 2013 and 2014.

Respond in the space provided.

Question 2

Part B
What is the percent change in the euros per dollar rate from the first day of 2013 to the first day of 2014? Round your answer to the nearest tenth. Show your work.

Respond in the space provided.

Question 3

Part C
On the first day in 2014, Arnold exchanged $500$500​ dollars for euros before going on a trip. At the end of the trip he had $58$58​ euros left over. About how much money, rounded to the nearest dollar, did he spend on the trip?

Respond in the space provided.

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Question 1: The currency rate for euros per dollar was greater in 2014 compared to 2013. In 2013, the rate was about 0.74 euros per dollar, while in 2014, the rate was about 0.83 euros per dollar. Therefore, the currency rate was higher in 2014.

Question 2: To calculate the percent change, we use the formula: ((new rate - old rate) / old rate) * 100. Plugging in the values, we get ((0.83 - 0.74) / 0.74) * 100 = (0.09 / 0.74) * 100 = 12.2%. So, the percent change in the euros per dollar rate from the first day of 2013 to the first day of 2014 is 12.2%.

Question 3: Arnold exchanged $500 for euros at a rate of 0.83 euros per dollar. This means he received 415 euros (500 * 0.83). At the end of the trip, he had 58 euros left. So, he spent 415 - 58 = 357 euros on the trip. Converting this amount back to dollars at the rate of 0.83 euros per dollar, he spent about $297 on the trip.