Question

Tom, Lily, and Shelby, competed as a team in a scavenger hunt. They were given a list of items to find around their neighborhood. Together the three of them found every item on the list. Tom found 1/3 of the items, and Lily found 4/9 of the items. Which area model represents the fraction of the item on the list that Shelby found?

Answer 1

The f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.

What is a fraction?

A fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the Total items in the list is x and Shelby found f(x) item.

Tom found 1/3 of the items, and

Lily found 4/9 of the items.

Then,

$\rm f(x) = x - (\dfrac{1}{3}+ \dfrac{4}{9})\\\\\rm f(x) = x - (\dfrac{3+4}{9})\\\\\rm f(x) = x - \dfrac{7}{9}\\\\\\\rm f(x) = \dfrac{9x-7}{9}$

Thus, the f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.

Learn more about the fraction here:

brainly.com/question/1301963

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