Question

Priya wrote the equation y=100−5m to represent the temperature, y, in degrees Celsius, after a liquid has been cooling for m minutes. Explain what the slope and y-intercept of the graph of the equation would mean in terms of the cooling liquid.

Answer 1

The y-intercept represents the initial temperature of the liquid before cooling  and the slope represent the changes in temperature for every m minutes.

y = 100 - 5m

where

y = temperature in degree Celsius

m = cooling for number of minutes

Using the slope intercept equation,

Slope intercept;

• y = mx + b

where

m = slope

b = y-intercept

Therefore,

y - intercept = 100

slope(m) = 5

Therefore, the y-intercept represents the initial temperature of the liquid before cooling  and the slope represent the changes in temperature for every m minutes.

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