Question

Lei needs pieces of ribbon that are each 13 ft long. Drag the correct equation to each type of ribbon to show how many 13 ft pieces Lei can make from each length.

Answer 1

Answer:

The equation is

$f(x) = [\frac{x}{13}]$

Where x is the ribbon's length in ft and with [a] we denote the integer part of a real number a.

Step-by-step explanation:

In order to obtain how many pieces of ribbon Lei can make, we have to divide the length of the Ribbon by the length of each piece, which is 13 ft. This means that if we have x ft of ribbon, then Lei can make a total of x/13 pieces.

However, if the result we obtain is not an integer we need to discard the last part of the ribbon that couldnt form and entire piece of 13 ft, therefore, after we divide x by 13, we also need to take the integer part of that division, that is, the biggest integer that is not bigger than x/13. With this information in mind, we obtain that the amount of pieces Lei can make is given by the following formula:

$f(x) = [\frac{x}{13}]$

Where [ a ] denotes the integer part of a real number a.