Question

a construction crew is paving a road. the function graphed below shows the distance, ( p(x) ) (in kilometers), that is left to be paved after the crew has been working ( x ) weeks. find ( p(11) ) and interpret this value. (a) ( p(11)=square ) (b) the answer to part (a) means that after the crew has been working for ( square ) weeks, they will have ( square ) kilometers left to pave.

Explanation:

Step1: Locate \(x = 11\) on the graph

Find the point on the x - axis (number of weeks) corresponding to \(x = 11\).

Step2: Determine the \(y\) - value

Read the \(y\) - value (distance left to pave) at \(x = 11\). From the graph, when \(x = 11\), \(P(11)=6\).

Answer:

(a) \(P(11) = 6\). This means that after the crew has been working for \(11\) weeks, they will have \(6\) kilometers left to pave.