Question

keiko is planning to rent a hotel conference room for an event. the function graphed below shows the cost, r(x) (in dollars), of renting the room for x hours. find r(4) and interpret this value. (a) r(4) = 100 (b) the answer to part (a) means the cost is $100 to rent the room for 4 hours.

Explanation:

Step1: Understand the function notation

The function \( R(x) \) represents the cost (in dollars) of renting the room for \( x \) hours. When we find \( R(4) \), we are substituting \( x = 4 \) into the function.

Step2: Interpret the value

In the context of this problem, \( R(4)=100 \) means that when \( x = 4 \) (i.e., when the room is rented for 4 hours), the output of the function \( R(x) \) (which is the cost) is 100.

Answer:

\( R(4) = 100 \) means that the cost to rent the room for 4 hours is 100 dollars.