For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut point with the y axis
We have according to the data:
Thus, the equation is of the form:
We substitute the given point:
Finally, the equation is:
Answer:
Answer:
Step-by-step explanation:
Given
See attachment for table
Required
Determine the explicit formula for the table
First, we need to check if the guppies increases at arithmetic progression or geometry progression.
For arithmetic progression:
We calculate the common difference (d)
Take n as 1
From the table:
Take n as 2
From the table:
The two differences are not equal. So, this
For geometry progression:
We calculate the common ratio (r)
Take n as 1
From the table:
Take n as 2
From the table:
The two ratios are equal.
So, the next step is to calculate the explicit formula using n term of a geometric progression.
Because the progression starts from 0, we make use of the following formula
Substitute values for g(0) and r
Hence:
The explicit formula is:
