Answer:
The linear equation is:
Step-by-step explanation:
Linear function:
A linear function has the following format:
In which m is the slope(how much y changes when x changes by 1) and b is the y-intercept(value of y when x = 0).
A company has an inventory of books that is decreasing at a constant rate. Write a linear equation for B in terms of d.
This means that the situation is modeled by a linear function in the following format:
After selling the book for 4 days, they have 8.840 books in stock and after selling it for 10 days they have 7,850 books in stock.
This means that B(4) = 8840, B(10) = 7850
Finding the slope:
The slope, having two points, is given by the change in the output(in this case B) divided by the change in the input(in this case d).
We have the points
(4,8840) -> When d = 4, B = 8840
(10,7850) -> When d = 10, B = 7850
Change in B: 7850 - 8840 = -990
Change in d: 10 - 4 = 6
Slope:
So
(10,7850) -> When d = 10, B = 7850
We use this to find B(0). So
The linear equation is: