Considering that x represents what year it is and y how many lions there are , we can make the two points
(3, 32) and (4, 128).
To find b ( the slope ) we jist need to figure out how many lions there were in a year and compare it to another :
in 1 year 96 lions were added, so our slope is 1/96x.
Now we just need to find c wich is the y intercept by figure out what y was when x was 0. So we apply our slope (1/96x) to (3, 32).
Our slope means that every +1 year (x) 96 lions are added (y), so if we go 1 year in the past there was -96 lions in the zoo. If we go back in 3 years there was -288 than in year 3.
(3-3, 32-288) = (0, -256) so our y-intercept is (0, -255)
Now we can complete the function
f(x)= 1/96x - 255
