Kathryn is filling an empty 100 ft^3 container with sand at a rate of 1.25 ft^3/min. Describe the key features of the graph of the amount of sand.

Question

How do I even do/start this?

Answer 1

y = 1.25t is an equation telling you how much sand (y) will be in the container after t minutes of dropping sand into it, at the constant rate 1.25 cu ft/min.   The DOMAIN of t starts at 0 and goes until y becomes 100 (full container) and then stops, presumably.

 

This graph is a straight line SEGMENT with positive slope 1.25, passing through the origin.