A printer can print documents at a uniform rate. The number of documents, x, that are printed in t minutes, is given by the expression 35t2 - 30.How many documents can the printer print in 112 hours?
Question
A printer can print documents at a uniform rate. The number of documents, x, that are printed in t minutes, is given by the expression 35t2 - 30.How many documents can the printer print in 112 hours?
Solution
First, we need to convert the time from hours to minutes because the rate is given in minutes. There are 60 minutes in an hour, so 112 hours is 112 * 60 = 6720 minutes.
Next, we substitute t = 6720 into the expression 35t^2 - 30 to find the number of documents printed in that time.
So, x = 35 * (6720)^2 - 30.
Calculate 35 * (6720)^2 = 1,606,169,600
Then subtract 30 to get: 1,606,169,570
So, the printer can print 1,606,169,570 documents in 112 hours.
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