Question

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

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Hello There!!

Given

Value of 't' = 4

To Find

Difference between the population of the two cities

Solution

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

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

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

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

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

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!!