I assume you mean 4(3^x) as in this is an exponential function.
The average rate of change is simply the change in y divided by the change in x so:
(4(3^2-3^1))/(2-1)
4(9-3)
4(6)
24
....
(4(3^4-3^3))/(4-3)
4(81-27)
4(54)
216
So the average rate from 3 to 4 is 216 and from 1 to 2 is only 24.
So the average rate of B to A is 216/24=9, is 9 times greater than A.
The average rate of change is not constant as this is an exponential function.
12.6 million = 4p + 1 million
to solve:
12.6 million - 1 million = 4p + 1 million - 1 million
11.6 million/4 = 4p/4
2.9 million = p
the population in 1950 was approximately 2.6 million
Answer: (B) 3 times as fast
<u>Step-by-step explanation:</u>
rate of change is the "slope" between the given interval.
f(x) = 125(.9)ˣ
f(1) = 125(.9)¹
= 112.5
f(5) = 125(.9)⁵
= 73.8
********************
f(11) = 125(.9)¹¹
= 39.2
f(15) = 125(.9)¹⁵
= 25.7
********************
The rate of change from years 1 to 5 is approximately 3 times the rate of change from years 11 to 15.
Any equation that has the same slope that’s not the exact same equation would be parallel to that line.
