Yup its 53 Degrees you got it right :)
So, here we have an exponential function.
Remember that an exponential function has the form:

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).
So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

So,

For city B:

But something different happens with city C. This is not an exponential function, this is a linear function.
So,

Answer:
k = 3.
Step-by-step explanation:
If they are collinear the slope of AB = the slope of BC, so :-
(0- (-2)) / (2 - 0) = (k - 0) / (5 - 2)
2/2 = k/3
1 = k/3
k = 3.
Answer:
B is the correct answer.
Step-by-step explanation:
graph attached below, with red as the parent function (f(x)=3^x) and blue as the change (f(x)=3^x-8).
Given are the two points (-10,0) and (-8,20), and equation of the line as y=mx+b.
We can plug the given values in the equation as follows :-
0 = -10m + b .........equation(1)
20 = -8m + b .........equation(2)
Subtracting equation(1) from equation(2)
20 - 0 = (-8m + b) - (-10m + b)
20 = -8m + b + 10m - b
20 = 10m - 8m
20 = 2m
m = 10
Plugging m=10 in the equation(1)
0 = -10(10) + b
0 = -100 + b
b = 100
So final answer is b = 100.