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(7) ) and interpret this value. (a) ( p(7)=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 \(x = 7\) on the graph

Find the point on the graph where the \(x\) - coordinate (number of weeks) is \(7\).

Step2: Determine the \(y\) - value at \(x = 7\)

Read the \(y\) - value (distance left to pave) corresponding to \(x = 7\). From the graph, when \(x = 7\), \(P(7)=20\).

Answer:

(a) \(P(7)=20\)
(b) The answer to part (a) means that after the crew has been working for \(7\) weeks, they will have \(20\) kilometers left to pave.