Let the graph of f(x) represent the cost in thousands of dollars to feed the zoo animals daily, where x is the number of animals measured in hundreds. What does the solution to the function (2, 10) represent?

a graph of a function that decreases from the upper left, travels through an ordered pair labelled, 2, 10, and then increases toward the right

There are 2,000 animals, and the cost is $1,000 daily.
There are 200 animals, and the cost is $10,000 daily.
There are 10,000 animals, and the cost is $200 daily.
There are 1,000 animals, and the cost is $2,000 daily.

1 answer

The ordered pair \((2, 10)\) in the context of the given function \(f(x)\) represents specific values where \(x\) is the number of animals measured in hundreds, and \(f(x)\) is the cost in thousands of dollars.

Let’s break down the values:
- \(x = 2\): This means there are \(2 \times 100 = 200\) animals.
- \(f(x) = 10\): This means the cost is \(10 \times 1,000 = $10,000\) daily.

So, the solution \((2, 10)\) translates to having 200 animals, and the cost to feed them daily is $10,000.

Therefore, the correct interpretation of \((2, 10)\) is:
- There are 200 animals, and the cost is $10,000 daily.

The correct option is:
- **There are 200 animals, and the cost is $10,000 daily.**