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

`n = 65m`

Number of minutes is 80 minutes

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 = (n)/(m)`

When m = 5; n = 325

`Ratio = (325)/(5)`

`Ratio = 65`

When m = 10; n = 650

`Ratio = (650)/(10)`

`Ratio = 65`

When m = 15; n = 975

`Ratio = (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 = (n)/(m)` to determine the relationship between m and n

Substitute 65 for Ratio

`65 = (n)/(m)`

Multiply both sides by m

`m * 65 = (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 = (n)/(m)` becomes

`65 = (5200)/(m)`

Multiply both sides by m

`65 * m = (5200)/(m) * m`

`65 * m = 5200`

Divide both sides by 65

`(65 * m)/(65) = (5200)/(65)`

`m = (5200)/(65)`

`m = 80`

Hence; number of minutes is 80 minutes