2. A copy machine can print 480 copies every 4 minutes. For each question, explain or show your reasoning. $$ \begin{array}{ll} ext { a. How many copies can it print in } & ext { b. A teacher printed } 720 ext { copies. How lor } \ 10 ext { minutes? } & ext { did it take to print? }\end{array} $$

Question

2. A copy machine can print 480 copies every 4 minutes. For each question, explain or show your reasoning. $$ \begin{array}{ll}	ext { a. How many copies can it print in } & 	ext { b. A teacher printed } 720 	ext { copies. How lor } \ 10 	ext { minutes? } & 	ext { did it take to print? }\end{array} $$

UpStudy AI · Accepted Answer

To solve the questions, we first need to determine the rate at which the copy machine prints.

### a. How many copies can it print in 10 minutes?

The copy machine can print 480 copies in 4 minutes. To find out how many copies it can print in 1 minute, we can divide the number of copies by the number of minutes:

$$
\text{Copies per minute} = \frac{480 \text{ copies}}{4 \text{ minutes}} = 120 \text{ copies per minute}
$$

Now, to find out how many copies it can print in 10 minutes, we multiply the number of copies it can print in 1 minute by 10:

$$
\text{Copies in 10 minutes} = 120 \text{ copies per minute} \times 10 \text{ minutes} = 1200 \text{ copies}
$$

So, the copy machine can print **1200 copies in 10 minutes**.

### b. A teacher printed 720 copies. How long did it take to print?

We already know that the copy machine prints at a rate of 120 copies per minute. To find out how long it took to print 720 copies, we can use the formula:

$$
\text{Time} = \frac{\text{Number of copies}}{\text{Copies per minute}}
$$

Substituting the values we have:

$$
\text{Time} = \frac{720 \text{ copies}}{120 \text{ copies per minute}} = 6 \text{ minutes}
$$

So, it took the teacher **6 minutes to print 720 copies**.
a. The copy machine can print 1200 copies in 10 minutes. b. It took 6 minutes to print 720 copies.

A copy machine can print 480 copies every 4 minutes. For each question, explain or
show your reasoning.

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