Question

Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground. After 555 minutes of descending at a rate of 1.81.81, point, 8 meters per minute, he was 13.513.513, point, 5 meters below the ground.
Let yyy represent Mr. Mole's altitude (in meters) relative to the ground after xxx minutes.

Complete the equation for the relationship between the altitude and number of minutes.

y=

Answer 1

Answer:

The relation is:

y = -1.8t - 4.5

Step-by-step explanation:

A general linear model equation is given by the formula:

y = mx+c

As descending is dependent to time t , replace x with t

y = mt+c

Where m is the rate of descending in this question

We are given that:

Rate of descending = 1.8

As the altitude is related to rate of descending, and it is decreasing, so

m = -1.8

Substitute in the general equation:

y = -1.8t + c

We know that for t=5 , altitude y = -13.5 , substitute in the above equation to find c.

-13.5 = -1.8(5) +c

c = -4.5

Substitute m = -1.8 and c = -4.5 in the general equation to find the relation

y = mt +c

y = -1.8t - 4.5