It takes 6 minutes to print 21 more photos. It takes 10 minutes to print 35 more photos.
To determine the time it takes to print 21 more photos, we first need to calculate the rate at which the printer prints photos. We can do this by dividing the number of photos printed (28) by the time it takes to print them (8 minutes). This gives us a rate of 3.5 photos per minute.
Next, we can divide the number of additional photos (21) by the rate of photos per minute to find the time it takes to print them. This gives us 21 photos / 3.5 photos per minute = 6 minutes.
Therefore, it takes 6 minutes to print 21 more photos.
To construct a double number line diagram, we create two parallel number lines, one for the number of photos and one for the number of minutes. We mark the starting point on both lines as 0.
Next, we plot the point (28, 8) on the diagram, representing the fact that 28 photos are printed in 8 minutes.
To determine the time it takes to print 35 more photos, we can extend the number of photos line to the point (35 + 28, 8), which is (63, 8). This point represents the fact that 63 photos are printed in 8 minutes.
Finally, we can draw a vertical line from the point (63, 8) on the number of photos line to the number of minutes line. This line intersects the number of minutes line at the point (63, 8 + 10), which is (63, 18).
Therefore, it takes 10 minutes to print 35 more photos.