Question

Explains how to find n, the number of copies the machine can make in one minute and How long will it take the machine to print 5,200 copies

Answer 1

Answer:

$n = 65m$

Number of minutes is 80 minutes

Step-by-step explanation:

Given

The attached table

Calculating the number of copies the machine can make in a minute

Represent number of minutes with m and number of copies with n

First, we need to calculate the ratio of m to n

$Ratio = \frac{n}{m}$

When m = 5; n = 325

$Ratio = \frac{325}{5}$

$Ratio = 65$

When m = 10; n = 650

$Ratio = \frac{650}{10}$

$Ratio = 65$

When m = 15; n = 975

$Ratio = \frac{975}{15}$

$Ratio = 65$

When we continue for other values of m and n, the ratio remains the same;

So; we make use of $Ratio = \frac{n}{m}$ to determine the relationship between m and n

Substitute 65 for Ratio

$65 = \frac{n}{m}$

Multiply both sides by m

$m * 65 = \frac{n}{m} * m$

$65m = n$

$n = 65m$

This implies that, you have to multiply the number of minutes by 65 to get the number of copies

Calculating the number of minutes to print 5200 copies;

In this case;

Ratio = 65 and n = 5200

So;

$Ratio = \frac{n}{m}$ becomes

$65 = \frac{5200}{m}$

Multiply both sides by m

$65 * m = \frac{5200}{m} * m$

$65 * m = 5200$

Divide both sides by 65

$\frac{65 * m}{65} = \frac{5200}{65}$

$m = \frac{5200}{65}$

$m = 80$

Hence; number of minutes is 80 minutes