Question

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−7A, equals, minus, 2, point, 3, t, minus, 7 How far below the ground does Mr. Mole's burrow lie? Meters below the ground

Answer 1

Answer:

• Mr. Mole's burrow lie 7 meters below the ground.

Explanation:

The information given can be summarized as:

• Mr Mole's altitude relative to the ground, in meters: A = - 2.3t - 7

• Time, since Mr. Mole started digging, in minutes: t

Interpetration of the terms in the model A = -2.3t - 7

The equation A = -2.3t - 7 is a linear function, which consists of two terms:

• The term -2.3t indicates that the altitude of Mr Mole decreases by 2.3 meters every minute. This is, -2.3 is the slope of the line in the graph that represents the altitude.

• The constant term - 7 is the altitude at t = 0, because at t = 0 A = -2.3(0) - 7 = 0 - 7 = 0. This is, -7 is the intercept with the vertical axis in the graph that represents the altitude.

Thus, altitude at which Mr. Mole's burrow lie is the initial value given by the function, this is the altitude at t = 0, or the vertical intercept of the line; which, as just said is - 7. The negative sign tells that the value is below the ground (ground level is 0 meters). Then, Mr. Mole's burrow lie 7 meters below the ground.