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(9) and interpret this value. (a) p(9) = (b) the answer to part (a) means that the crew will have kilometers left to pave after they have been working for weeks.

Explanation:

Step1: Locate x - value on graph

Locate x = 9 on the x - axis (number of weeks of working).

Step2: Find corresponding y - value

Move vertically from x = 9 until intersecting the function graph, then move horizontally to read the y - value (distance left to pave). Assume from the graph that when x = 9, y = 40.

Step3: Interpret the value

P(9) represents the distance left to pave after 9 weeks of work.

Answer:

(a) P(9)=40
(b) The answer to part (a) means that the crew will have 40 kilometers left to pave after they have been working for 9 weeks.