Answer:
about 78 years
Step-by-step explanation:
Population
y =ab^t where a is the initial population and b is 1+the percent of increase
t is in years
y = 2000000(1+.04)^t
y = 2000000(1.04)^t
Food
y = a+bt where a is the initial population and b is constant increase
t is in years
b = .5 million = 500000
y = 4000000 +500000t
We need to set these equal and solve for t to determine when food shortage will occur
2000000(1.04)^t= 4000000 +500000t
Using graphing technology, (see attached graph The y axis is in millions of years), where these two lines intersect is the year where food shortages start.
t≈78 years
Answer:
2
Step-by-step explanation:
-3 log₂ (-n + 10) = -16+7
-3 log₂ (-n + 10) = -9
log₂ (-n + 10) = -9/-3
log₂ (-n + 10) = 3
-n + 10 = 2^3
-n + 10 = 8
n=2
Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function 
in an interval from a to b is given by:
In this question:
Where x goes from 5 to 7.
This means that 
. So
The rate of change is:
The average rate of change of the function in this interval is of 18.
65/3=21 with 2 leftover
(2/3)/3 or 2/3•1/3 = 2/9
so either they didn’t get to share or each got 2/9 of the leftovers
