Question

the population of greenville is approximately 75 times the population of fairview. there are $3.75 \times 10^{5}$ people living in greenville. approximately how many people are living in fairview?
$5 \times 10^{4}$
$5 \times 10^{3}$

Explanation:

Step1: Define variables and relationship

Let $G$ = Greenville population, $F$ = Fairview population. Given $G = 75F$, $G = 3.75 \times 10^5$.

Step2: Rearrange to solve for F

$F = \frac{G}{75}$

Step3: Substitute G value

$F = \frac{3.75 \times 10^5}{75}$

Step4: Calculate the quotient

$\frac{3.75}{75} = 0.05$, so $F = 0.05 \times 10^5 = 5 \times 10^3$

Answer:

$5 \times 10^3$