Question

debra 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(5) and interpret this value. (a) r(5)= (b) the answer to part (a) means the cost is $ to rent the room for hours.

Explanation:

Step1: Locate the value on the graph

Find the point on the graph where \(x = 5\) (since \(R(x)\) is the cost for \(x\) hours).

Step2: Read the \(y\)-value (cost)

When \(x = 5\), the \(y\)-value (cost \(R(5)\)) is \(14\).

Step3: Interpret the value

\(R(5)=14\) means the cost is \(14\) dollars to rent the room for \(5\) hours.

Answer:

(a) \(R(5) = 14\)
(b) The answer to part (a) means the cost is \(14\) dollars to rent the room for \(5\) hours.