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)=square ) (b) the answer to part (a) means the cost is ( $ square ) to rent the room for ( square ) hours.

Explanation:

Step1: Locate \(x = 4\) on the graph

Find the point on the graph where \(x\)-coordinate (time in hours) is \(4\).

Step2: Determine the \(y\)-coordinate

The \(y\)-coordinate (cost in dollars) corresponding to \(x = 4\) is the value of \(R(4)\).

Assuming from a standard linear - like graph (if we assume a linear function \(R(x)=mx + b\), and if for example, if the function passes through \((0,20)\) (initial cost) and has a slope \(m = 20\) (since \(R(x)=20x+20\)):
\(R(4)=20\times4 + 20=80 + 20=100\)

Answer:

(a) \(R(4)=100\)
(b) The answer to part (a) means the cost is \(\$100\) to rent the room for \(4\) hours.