Question

charmaine is planning to rent a hotel conference room for an event. the function graphed below shows the hours.
find ( r(4) ) and interpret this value.
(a) ( r(4)=square )
(b) the answer to part (a) means that renting the roo( square ) hours costs ( $ square ).

Explanation:

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

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

Step2: Determine the \(y\) - value (\(R(4)\))

Read the \(y\) - coordinate (cost in dollars) of the point with \(x = 4\). Assuming the graph (if we consider a linear function \(R(x)=mx + b\), where \(b = 200\) (the \(y\) - intercept, when \(x = 0\), \(R(0)=200\)) and if the slope \(m=\frac{600 - 200}{4}=100\), then \(R(x)=100x + 200\)). Substitute \(x = 4\) into \(R(x)=100x+200\), we get \(R(4)=100\times4 + 200=600\).

Answer:

(a) \(R(4)=600\)
(b) The answer to part (a) means that renting the room for \(4\) hours costs \(\$600\).