b. Add a fourth row to the table showing the population information for the town
of Concord. Concord’s population as of the last census was p people; for its
percentage change, choose a negative integer not divisible by two. Write two
expressions showing the current estimated population of Concord in terms of p.
o
| Town | Population |
|-------------|------------|
| New York | 8,398,748 |
| Los Angeles | 3,990,456 |
| Chicago | 2,705,994 |
| Concord | p |
The expressions showing the current estimated population of Concord in terms of p are:
1. p - (p/100) * 2
2. p * (1 - 0.02)
c. Choose a number greater than 5,000 and less than 10,000 for the value of p.
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
Let's choose a value of p = 6,789.
Using the first expression of p - (p/100) * 2, we can calculate the estimated current population of Concord:
6,789 - (6,789/100) * 2 = 6,789 - 135.78 = 6,653.22
Rounding this number to the nearest whole number, the estimated current population of Concord is 6,653.
I used this expression because it represents a decrease of 2% from the original population. This reflects the negative percentage change we chose in part b. By subtracting 2% of the original population from the original population, we can estimate the current population.
i want the number 7,000
Sure, let's calculate the estimated current population of Concord using the second expression: p * (1 - 0.02), considering the value of p = 7,000.
7,000 * (1 - 0.02) = 7,000 * 0.98 = 6,860
Rounding this number to the nearest whole number, the estimated current population of Concord is 6,860.
I used this expression because multiplying the original population of Concord by (1 - 0.02) reflects a decrease of 2%, which matches the negative percentage change we chose. This allows us to estimate the current population by taking into account the percentage decrease.