Question

three statements were made about the following situations. two are true and one is false. mark each statement as true or false and then rewrite the false statement to make it true.
1
statement
t/f?
a small town in texas started with a population of 1,200 people 50 years ago. the town now has a population of 1,320,500 people.
the population of the town 50 years ago can be estimated using 1 x 10³.
the current population of the town can be estimated using 1 x 10⁵.
the current population of the town is about 1 x 10³ times greater than it was 50 years ago.
rewrite the false statement to make it true:

Explanation:

Step1: Evaluate first statement

Population 50 years ago was 1200. $1\times10^{3}=1000$. Since 1200 is close to 1000, this statement can be considered true as an estimate.

Step2: Evaluate second statement

Current population is 1320500. $1\times 10^{5}=100000$. 1320500 is much larger than 100000, so this statement is false.

Step3: Evaluate third statement

Ratio of current population (1320500) to population 50 years ago (1200) is $\frac{1320500}{1200}\approx1100.42$. $1\times10^{3} = 1000$, and 1100.42 is close to 1000 as an estimate, so this statement is true.

Step4: Rewrite false statement

The current population of the town is about $1\times 10^{6}$ times greater than it was 50 years ago (since $\frac{1320500}{1200}\approx1100.42\approx1\times10^{3}$ and current population 1320500 is close to $1\times10^{6}$ as an order - of - magnitude estimate).

Answer:

1. T
2. F
3. T

Rewrite: The current population of the town is about $1\times 10^{6}$ times greater than it was 50 years ago.