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

Explanation:

Step1: Locate x - value on graph

Find the point on the x - axis corresponding to x = 16 (number of weeks).

Step2: Determine y - value

Go vertically from x = 16 until you intersect the graph of the function P(x), then go horizontally to read the y - value (distance left to pave). Assume from the graph, when x = 16, P(16)=30.

Step3: Interpret the value

The function P(x) represents the distance left to pave after x weeks of work. So when P(16) = 30, it means after the crew has been working for 16 weeks, they will have 30 kilometers left to pave.

Answer:

(a) P(16)=30
(b) The answer to part (a) means that after the crew has been working for 16 weeks, they will have 30 kilometers left to pave.