Mathematics, 07.12.2019 08:31 AnActualTrashcan

Acountry's population in 1991 was 200 million.
in 2000 it was 204 million. estimate
the population in 2011 using the exponential
growth formula. round your answer to the
nearest million.

Answers: 1

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Answer from: adenn3693

208 million

Step-by-step explanation:

In this situation, the population in 1991, 200 million is the initial value. The end year, 2011 is 20 years after the initial year because 2011 - 1991 = 20.

The formula for exponential growth is $y = ab^{x}$

y is the ending value, ending population in this case.

a is the initial value, 200 million in population.

b is the growth rate.

x is the time passed, 20 years.

Use the exponential formula to calculate growth rate.

Use the other given information:

1991 it was 200 million

2000 it was 204 million

The population can be found in hundreds for millions so that it's simpler.

In the formula, use the later population as the end value (y = 204). The time elapsed, x, is 2000-1991. (x = 9). The initial population is 200 million (a = 200).

Substitute these values then find b, the variable for growth rate.

$y = ab^{x}$

$204 = (200)b^{9}$

$204/200 = b^{9}$

$1.02 = b^{9}$

You can use guess and check for an approximate answer.

Substitute a guess for b. Find a number that when raised to the power of 9, it is close to 1.02.

Guess for b Check Too high or low

1.1 2.36 high

1.001 1.01 low

1.002 1.018 close enough

b = 1.002

Use the information to solve, where:

y = ?, the population for the year 2011

a = 200, (actually 200 million)

b = 1.002

x = 20 (the difference between 1991 and 2011)

Substitute into the formula:

$y = ab^{x}$

$y = 200(1.002)^{20}$

y = 208.154

y ≈ 208 <= Rounded

*Remember the population is not 208, but 208 million

Therefore the population in 2011 is about 208 million.

Answer from: Quest

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

Need 45 ! compare the rates at which each of the three students read: which student read at a fa

Answer from: Quest

here is your mark brainliest

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Acountry's population in 1991 was 200 million.
in 2000 it was 204 million. estimate
the...

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