(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the

Question

3 years ago

14

(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the

following data: Assume that the suburb has a population of 320000 and is growing at a rate of 5000 per year. Assume that the city has a population of 624000 and is declining at a rate of 14000 per year. In how many years will the populations of the suburb and the city be equal

Mathematics

1 answer:

Vanyuwa [196] · Answer 1 · 2022-06-09T01:51:06+03:00

Answer:

16 years

Step-by-step explanation:

Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:

320000 + 5000x

The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:

624000 - 14000x

The number of years for the city and suburb population to be equal can be gotten from:

320000 + 5000x = 624000 - 14000x

14000x + 5000x = 624000 - 320000

19000x = 304000

x = 304000 / 19000

x = 16

In 16 years the populations of the suburb and the city be equal