Question

The populations of two cities after t years can be modeled by

Answer 1

Explanation:

Answer 2

Hello There!!

Given

Value of 't' = 4

To Find

Difference between the population of the two cities

Solution

`\text{{Assuming the population of two cities as}} \: \text{c}_1 \text{ and} \: \text{c}_2`

`\text{ In Case of }\text{c}_1`

`\text{c}_1 = -150\text{t} + 50,000 \\ \implies \text{c}_1 = - 150 * 4 + 50,000 \\ \implies \text{c}_1 = - 600 + 50,000 \\ \implies \text{c}_1 = 49,400`

`\text{ In Case of }\text{c}_2`

`\text{c}_2 = 50\text{t} + 75,000 \\ \implies \text{c}_2 = 50* 4 + 75,000 \\\implies \text{c}_2 = 200+ 75,000 \\ \implies \text{c}_2 = 75,200`

Now, We need to find the difference in their population

`\text{c}_2 - \text{c}_1 \\ = 75,200 - 49,400 \\ = 25,800`

`\therefore \text{Difference between their Population=} \red{25,800}`

Hope This Helps!!