Ursula works at a print shop. She uses a printer that can print 12 pages per minute. Yesterday she started printing flyers for an order. Today at 8 a.m. she continued working on the order, and by 9 a.m. she had 420 flyers for the order completed.
Write an equation in the form y = mx + b that describes the number of pages, y, that were printed after x minutes.
To write an equation in the form y = mx + b, we need to find the constants m and b.
Let's break down the information given:
- Ursula's printer can print 12 pages per minute.
- Ursula started printing yesterday, so we don't know how many pages were printed before today.
- Today at 8 a.m., Ursula had already printed some flyers from yesterday's work.
- By 9 a.m., she had completed 420 flyers for the order.
Now, let's find the equation:
Let's assume "x" represents the number of minutes Ursula has been printing today (starting from 8 a.m.). We need to find the total number of pages printed at any given x.
From the information given, Ursula's printer prints 12 pages per minute. So, for every minute, she prints 12x pages.
By 8 a.m., Ursula had already printed some flyers. Let's assume she had already printed "b" pages by 8 a.m.
Now, let's put together all the information:
- By 8 a.m. (x = 0), Ursula had already printed "b" pages. So, the equation becomes:
y = 0 + b, which simplifies to y = b.
- For every additional minute Ursula prints today (x), she prints 12 pages. So the equation becomes:
y = 12x + b.
Therefore, the equation in the form y = mx + b that describes the number of pages, y, that were printed after x minutes is:
y = 12x + b.
8:00 to 9:00 is 60 minutes
at 12 ppm, that would be 720 flyers.
Something is wrong here.
(a) we don't know how many flyers were printed yesterday
(b) were they included in the 420 done by 9:00 today?
(c) was the printer running at full speed?
The numbers don't add up, to me.