Question

PLEASE HELP!!!!!!!!

Answer 1

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

Answer:

78 years.

Step-by-step explanation:

We can solve this problem by quickly creating an equation like this:

2000000(1.04)^t= 4000000 +500000t

And when you solve it you will get approximately 78 years.

Thank you!