the government of a foreign country has recently decided to give a tax rebate to each of its adult citizens…

the government of a foreign country has recently decided to give a tax rebate to each of its adult citizens. the total amount the government can spend on the program is the equivalent of $4.89\times 10^{11}$. if the adult population of the country is approximately $2.52\times 10^{8}$, what is a good estimate of the amount of money each person will receive (in dollars)?\n\na. $194.05\n\nb. $1,232.28\n\nc. $1,940.48\n\nd. $19,404.76

the government of a foreign country has recently decided to give a tax rebate to each of its adult citizens. the total amount the government can spend on the program is the equivalent of $4.89\times 10^{11}$. if the adult population of the country is approximately $2.52\times 10^{8}$, what is a good estimate of the amount of money each person will receive (in dollars)?\n\na. $194.05\n\nb. $1,232.28\n\nc. $1,940.48\n\nd. $19,404.76

Answer

Explanation:

Step1: Recall division formula for per - person amount

To find the amount of money each person will receive, we divide the total amount of money available for the program by the number of adult citizens. The formula is $\text{Amount per person}=\frac{\text{Total amount}}{\text{Number of people}}$.

Step2: Substitute the given values

We are given that the total amount is $4.89\times 10^{11}$ and the number of adult citizens is $2.52\times 10^{8}$. So, $\text{Amount per person}=\frac{4.89\times 10^{11}}{2.52\times 10^{8}}$.

Step3: Use the rule of exponents for division

When dividing numbers in scientific - notation $a\times 10^{m}$ by $b\times 10^{n}$, we use the formula $\frac{a\times 10^{m}}{b\times 10^{n}}=\frac{a}{b}\times 10^{m - n}$. Here, $\frac{4.89}{2.52}\approx1.94$ and $10^{11-8}=10^{3}$.

Step4: Calculate the final result

$1.94\times 10^{3}=1940$. The closest value to $1940$ among the options is $1940.48$.

Answer:

C. $1,940.48$