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-BARSIC- [3]
3 years ago
15

Do you agree with the researchers method of predicting the population? Why or why not?

Mathematics
1 answer:
Burka [1]3 years ago
6 0

Yes, I agree with the researcher's method. All the values of a_{n} in the table correspond to the values of n by using their formula.

Step-by-step explanation:

Step 1:

If we substitute the values of n in the researcher's equation and we get the right values of a_{n}, we can agree with the researcher's method.

The researcher's formula is a_{n} = 1000(2)^{n-1}. Here a_{n} is the wombat population and n is the number of years.

Step 2:

When n = 1, a_{1} = 1000(2)^{1-1} =  1000(1) = 1,000,

when n = 2, a_{2} = 1000(2)^{2-1} = 1000(2) = 2,000,

when n = 3, a_{3} = 1000(2)^{3-1} = 1000(4) = 4,000,

when n = 4, a_{4} = 1000(2)^{4-1} = 1000(8) = 8,000,

when n = 5, a_{5} = 1000(2)^{5-1} = 1000(16) = 16,000.

As all the values correspond to the values on the table, I agree with the researcher's method.

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