Choose a number greater than 5,000 and less than 10,000 for the value of p.

Question

Based on the percentage change you chose in part b, calculate the estimated
current population of Concord, rounding to the nearest whole number if
needed. Explain why you used the expression you did to make your calculation. im choosing p = 7000 and the percentage i choose is - 3%

Answer 1

To calculate the estimated current population of Concord based on your chosen values, we can use the formula for percentage change:

\[ \text{New Population} = \text{Old Population} + \left(\text{Percentage Change} \times \text{Old Population}\right) \]

In this case, the old population (p) is 7,000, and the percentage change is -3%. The formula can be rewritten specifically for decreasing values as follows:

\[ \text{New Population} = p \times (1 + \frac{\text{Percentage Change}}{100}) \]

Now substituting the values:

\[ \text{Percentage Change} = -3 \implies \frac{-3}{100} = -0.03 \] \[ \text{New Population} = 7000 \times (1 - 0.03) \]

Now perform the calculations:

\[ \text{New Population} = 7000 \times 0.97 = 6790 \]

So the estimated current population of Concord, rounding to the nearest whole number, is 6,790.

Explanation of the Expression Used

I used the expression \( p \times (1 + \frac{\text{Percentage Change}}{100}) \) to account for the decrease in population due to the -3% change.

• \( p = 7000 \) represents the original population.
• The term \( (1 - 0.03) \) recognizes that we are reducing the population by 3%, hence the need to subtract the percentage from 1 (i.e., 100% - 3% = 97%).
• Multiplying by 0.97 gives us the new population size after applying the -3% change.

This method ensures that the calculation reflects the loss in population accurately.

Answer 2

explain it like a 4th grader

Answer 3

Sure! Let's break it down simply:

1. Choosing a Number: You picked 7,000. That's the number of people we think lived in Concord before.

2. Percentage Change: You said the population went down by 3%. This means that some people left or moved away from Concord.

3. Calculating the New Population: To find out how many people are left now, we need to take away 3% of 7,000.

   • What is 3% of 7,000?: We can think of this like a little bit less than the whole number. So, if we take 3 parts out of every 100 parts, it gives us a small number of people to take away.

   • Calculating it:

     • First, we can figure out what 1% of 7,000 is. (1% is just 7, since 7,000 divided by 100 is 70).
     • Now we multiply that by 3 to find out how many people to take away: 70 (which is 1%) times 3 equals 210. So, 3% of 7,000 is 210 people.

4. Finding How Many Are Left: To get the new number of people, we subtract the 210 from 7,000:

   • \( 7,000 - 210 = 6,790 \)

5. Final Result: So, the new population of Concord is 6,790 people!

I used this way of calculating because it helps us understand how many people live there now after some have moved away. It makes it easy to see how much of a change happened!