Question

Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.

Answer 1

Answer:

$A(t)=-1.8t-4.5$

Step-by-step explanation:

Mr.Mole's digging can be described by a linear model of general equation:

$A(t)=m*t+c$

Where "m" is the rate at which he descends. Note that since the function A(t) measure his altitude relative to the ground, the rate "m" must be negative.

$(m=-1.8)$

$A(t)=-1.8*t+c$

The constant "c" is his starting position. To find this value, assign the given data at t = 5 min to the equation above

$-13.5=-1.8*5+c\\c=-4.5m$

Therefore, the function A(t) is described by the following formula:
$A(t)=-1.8t-4.5$