Given table is given below
The relationship between the number of crocodiles and the number of alligators is not proportional across all lakes. Only two of the lakes have crocodiles and alligators in the same proportion. Which two lakes are they?
lake A and lake B
lake B and lake C
lake A and lake E
lake C and lake D
Answer : lake A and lake E
Lake
---> Crocodiles
---> Alligators
---> Ratio
A
---> 4
----> 5
B
---> 21
---> 35
C
---> 3
---> 9
D
---> 6
---> 16
E
---> 24
---> 30
The ratio of A is 4: 5
B is 21: 35 = 3 : 5
C is 3 : 9 = 1 : 3
D is 6 : 16 = 3 : 8
E is 24: 30 = 4 : 5
Lake A and E has the same ratio 4: 5
(i) To show that a piecewise function is continuous at a point, we need to show that the left hand and right hand limit "agree" with each other. In other words, we want:

Now, since we're given the constraints and the equation of each constraint, we notice that 6061^+ is a number that is slightly bigger than 6061. So we use the second equation. Do you see why?
In much the same way, 6061^- is a number that is slightly smaller than 6061. So we use the first equation. Again, do you see why? (Hint: look at the conditions on x for each equation).
So finally, computing each limit means just "plugging" 6061 into their respective equations. That is:


Since your limits match, we say that, at the point x = 6061, T(x) IS continuous.
(ii) Repeat the process above with x = 32473.
(iii) Find a point of discontinuity just means your right hand and left hand limits do not match -- I'm not an economist, so I may not be of much help with the latter part of the question!
Answer:22/11=2
2*9=18
18-3^2
18-9=9
Step-by-step explanation: