Water begins to slowly leak from David’s water bottle right after he fills it. After 5 minutes, he notices the bottle has 26 oun
ces of water remaining. After 30 minutes, he notices the bottle has 16 ounces of water remaining. Let x represent the number of minutes that have passed and let y represent the amount of water remaining in the bottle. a) Without calculating, will the rate of change (slope) for the water bottle be positive or negative? Explain how you know.
b) What is the rate of change (slope) of this situation (in ounces per minute)?
c) Write an equation to model this situation:
d) How much water was in David’s bottle immediately after he filled it?
e) After how many minutes will David’s bottle be completely empty?
For the equation to be a part of a system, the point (0,0) must be a part of the line. Since y = -3x is proportional meaning b = 0, its y-intercept is (0,0). This means it must cross through and include (0,0). This is a part of the system.
