Question

a printer is printing photos. for every 6 photos, the printer takes 2 minutes. complete the table below showing the number of photos and the time it takes to print them. number of photos: 6, \boxed{}, \boxed{}, 21, \boxed{} time (minutes): 2, 3, 5, \boxed{}, 10

Explanation:

Step1: Find print rate per minute

First, calculate how many photos the printer prints per minute.
$\text{Rate} = \frac{6 \text{ photos}}{2 \text{ minutes}} = 3 \text{ photos/minute}$
This also means $\text{Time per photo} = \frac{2 \text{ minutes}}{6 \text{ photos}} = \frac{1}{3} \text{ minutes/photo}$

Step2: Calculate photos for 3 minutes

Multiply time by print rate.
$\text{Photos} = 3 \text{ min} \times 3 \text{ photos/min} = 9$

Step3: Calculate photos for 5 minutes

Multiply time by print rate.
$\text{Photos} = 5 \text{ min} \times 3 \text{ photos/min} = 15$

Step4: Calculate time for 21 photos

Multiply photo count by time per photo.
$\text{Time} = 21 \text{ photos} \times \frac{1}{3} \text{ min/photo} = 7$

Step5: Calculate photos for 10 minutes

Multiply time by print rate.
$\text{Photos} = 10 \text{ min} \times 3 \text{ photos/min} = 30$

Answer:

Filled table values (in order of empty cells):
Number of photos: 9, 15, 30
Time (minutes): 7

Completed table:

Number of photos	6	9	15	21	30