Question

I need to create a formula that represents if the food supply growth rate doubled using the following numbers

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In 2012, the population of Malthustan is 8 million people and increasing at a rate of 5% per year.
Malthustan currently produces enough food to feed 12 million people, and is increasing its food
supply to feed an additional 160,000 people per year.
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This is my guess, but I don't know if it's right... :
y = 12000000 + 2(160000)x
= 12000000 + 320000x

Answer 1

Rules: 12,000,000 is currently being produced.
160,000 is added each year.

Food Supply Growth Rate = (Annual Food Added to Supply)/(Current Food Produced)

1.) F.S.G.R. = 160,000/12,000,000
2.) 0.0134 = 160,000/12,000,000

Remember this is all based on the current food produced, so that will be our value for x.
x= 12,000,000

Total Food Production will be:
1.) 0.0134(x) + x
2.) 0.0134(12,000,000) + 12,000,000

So, to double the current growth rate: 0.0134*2=0.0268

Our new formula is:
1.) 0.0268(x) + (x)
2.) 0.0268(12,000,000) + 12,000,000

To check our work:

1.) 160,000*2 = 320,000
2.) 0.0268(12,000,000) = 321,600

*off due to rounding of rate from .0133333333333 to .0134*

I hope that helps.

Answer 2

thanks for your response!!