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(16) ) and interpret this value.
(a) ( p(16)=70 )
(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: Understand the function notation

The function \(P(x)\) represents the distance left to pave after \(x\) weeks of working. When \(x = 16\), \(P(16)\) gives the value of the distance left at \(x=16\).

Step2: Interpret the function value

For part (a), \(P(16)=70\) means that after the crew has been working for \(16\) weeks, the distance left to pave is \(70\) kilometers.

Answer:

(a) After the crew has been working for \(16\) weeks, the distance left to pave is \(70\) kilometers.
(b) \(16\); \(70\)