Question

HELP???? PLEASE AND FAST IM ON THE BRINK OF DEATH --

Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 1/3 an ounce per second.

Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 2/3 an ounce per second.

1) Graph this situation on
2) What does the graph tell you about the situation and how many solutions there are?

Answer 1

See below.

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).