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Answer:
See below.
Step-by-step explanation:
Create a system of equations to represent this scenario.
- Lin: 12 - 1/3x = y
- Diego: 20 - 2/3x = y
1) A graph of these equations is attached below. Lin is in red; Diego is in blue.
2) The time (seconds) is on the x-axis, while the milkshake (oz) is on the y-axis. The graph shows the rate of change that the volume of the milkshake is decreasing for both Lin and Diego. The intersection point tells us at what time t (s) Lin and Diego have the same amount of milkshake left.
There is only one solution to this system of equations: (24, 4). This tells us that at t = 24 s, Lin and Diego both have 4 oz of milkshake left.
The zeros, aka where the graph touches the x-axis, tell us at what time Lin and Diego finish their milkshakes.
Lin finishes her milkshake later than Diego, at t = 36 s (36, 0), while Diego finishes his milkshake at t = 30 s (30, 0).
