Todd is attempting to predict how much money his furniture company will make based on the amount raw materials the company currently has at its disposal. the average profit from the sale of 1 piece of furniture can be expressed as 3x + 1 and the average number of pieces of furniture that can be made using the current supply of raw materials can be expressed as 3x - 1. what polynomial function can todd use to calculate the average profit?

check the picture below.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."