Question

$$(x)=\
LATEXBLOCK0
$$

function c is the cost for x, amount of people to enter the park. what is the cost if x = 20 ?

Explanation:

Step1: Identify the interval for x=20

We check which piece of the piece - wise function \(C(x)\) the value \(x = 20\) belongs to. The second piece of the function is defined as \(200\) when \(10\lt x\leq20\). Since \(x = 20\) satisfies the inequality \(10\lt20\leq20\) (the upper bound is inclusive), we use this piece of the function.

Step2: Determine the cost

From the second piece of the function \(C(x)\) where \(10\lt x\leq20\), the cost \(C(x)=200\). So when \(x = 20\), the cost is \(200\).

Answer:

200