Question

Drag each tile to the correct box. Not all tiles will be used. The current population of a city is about 2,130,000 people, and it’s increasing at a rate of 10 percent per year. Arrange the steps in the correct order to show how to determine the population of the city in five years.

Answer 1

y = 2/5x + 10 (1st box)

y = -1/2x + 1/2 (2nd box)

y = 3/2x - 11/2 (3rd box)

y = 4/3 x - 7/3 (4th box)

y = 3/4x - 10 (5th box)

Step-by-step explanation:

Answer 2

To calculate the city's population in five years with a 10% annual growth rate, multiply the current population by 1.10 each year for five years using the formula 2,130,000 × (1.10)^5.

Step-by-step explanation:

To determine the population of the city in five years given the current population and an annual growth rate of 10%, follow these steps:

1. Start with the current population, which is 2,130,000 people.
2. Recognize that a 10 percent annual growth rate means the population multiplies by 1.10 each year.
3. Calculate the population after one year by multiplying the current population by 1.10.
4. Use the result from the previous year to calculate the next year's population, repeating this step for a total of five times for the five years.
5. Remember that not every number from the provided tiles will be used, as some may be there to distract or provide alternative scenarios.

The calculation after five years would be 2,130,000 × (1.10)^5. This formula uses exponential growth to factor in the compounding effect of the population increase over multiple years.