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A machine prints a special card at a rate of 1500 copies per minute. Calculate the cost of each card printed in 1 hour and 15 minutes if the cost is $1000 for 4 cards.

a) $28,125
b) $30,000
c) $31,250
d) $33,750

1 Answer

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Final answer:

The cost of each card printed in 1 hour and 15 minutes is approximately $88.89.

Step-by-step explanation:

The correct answer is option c) $31,250.

To calculate the cost of each card printed in 1 hour and 15 minutes, we first need to find the total number of cards printed in that time period.

Since the machine prints at a rate of 1500 copies per minute, it will print 1500 x 75 = 112,500 copies in 1 hour and 15 minutes.

To find the cost of each card, we divide the total cost ($1000) by the number of cards (112,500): $1000 / 112,500 = $0.0088889.

Finally, we convert this to dollars by multiplying by 100: $0.0088889 x 100 = $0.88889.

Therefore, the cost of each card printed in 1 hour and 15 minutes is approximately $0.88889.

Since there are 100 cents in a dollar, we can multiply $0.88889 by 100 to get the cost in dollars: $0.88889 x 100 = $88.889.

Therefore, the cost of each card printed in 1 hour and 15 minutes is approximately $88.889.

Rounding to the nearest cent, the cost of each card is approximately $88.89.

The total number of cards printed in 1 hour and 15 minutes at a rate of 1500 copies per minute is 112,500. The cost of each of these cards is $250 when divided by the total cost of $28,125,000, which results from a cost of $1000 for 4 cards. The provided options do not match the calculated result; therefore, there's a discrepancy.

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