Answer: –1.8x – 4.5
Explaination:
To solve this question, we need to understand the concept of a linear model
What is the linear model of a general equation?
The linear model of the general equation explains the relationship among two variables for making a decision if that relationship between them is statistically relevant and significant.
From the given information, we can say that the digging carried out by Mr. Mole can be expressed by using the linear relation:
A(t) = yt + c
here:
y = the rate at which Mr. Mole descends and;
y = negative
c = constant
t = time
This is due to the position of the digging relative to the ground surface.
A(t) = -1.8t + c
After 5 minutes(time t), he was 13.5 meters below the ground.
i.e.
13.5 = -1.8(5) + c
13.5 = -9 + c
c = 13.5 - 9
c = 4.5
Therefore, we can conclude that the function of the formula after 5 minutes is: –1.8x – 4.5