Mr. Mole left his burrow and started digging his way down.
AAA represents Mr. Mole's altitude relative to the ground (in meters) after ttt minutes.
A=-2.3t-7A=−2.3t−7
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Given:
Mr. Mole left his burrow and started digging his way down.
A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.
A=-2.3t-7
To find:
How far below the ground does Mr. Mole's burrow lie?
Solution:
Consider the attached figure, while going through the following steps.
Given equation, A = -2.3t - 7 is a linear function, with a constant -7 and a minus sign represents below the ground.
The term -2.3t represents the altitude of Mr Mole decreases by 2.3 meters every minute and -2.3 is the slope of the line.
A = -2.3t - 7, when time is 0, we get,
A = -2.3 (0) - 7
A = -7 (altitude)
Therefore, Mr. Mole's burrow lie 7 meters below the ground.
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