Question
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A photo printer can print 78 color pictures in 24 seconds. Write an equation that represe the relationship between \( t \), the time in seconds, and \( p \), the number of pictures printed? 1 s

Ask by Riley Vaughn. in the United States
Feb 25,2025

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Tutor-Verified Answer

Answer

The number of pictures printed, p, in t seconds is given by the equation:   p = (13/4)t

Solution

Since the printer produces 78 pictures in 24 seconds, its rate is 78/24 pictures per second. This can be simplified to 13/4 pictures per second. Therefore, the number of pictures printed, p, in t seconds is given by the equation:   p = (13/4)t

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The Deep Dive

In order to establish the relationship between time \( t \) and the number of pictures \( p \), we can start by finding the rate of pictures printed per second. Since the printer can print 78 pictures in 24 seconds, the rate is \( 78 / 24 = 3.25 \) pictures per second. Therefore, the equation that represents the relationship is: \[ p = 3.25t \] Need a fun fact? The first photo printer was introduced in the late 1980s, but it wasn’t until the 2000s that they became widely accessible and affordable for ordinary consumers. Now, you can print your memories in just seconds from the comfort of home! Speaking of printing, while digital photography allows us to take unlimited shots, it’s crucial to be selective when printing. Make sure to choose high-quality images to avoid blurry prints. Common mistakes include not checking print settings, like resolution or paper type, so always double-check before hitting that print button!

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