Question

Since Beth was born the population of her towns has increased at a rate of 850 people per year. On beths 9th birthday the total population was nearly 307,650. Write and solve linear equation to find popualtion on beths 16th birthday

Answer 1

313,600

Explanation:

Let t represent number of years after Beth's 9th birthday.

We have been given that since Beth was born the population of her towns has increased at a rate of 850 people per year. So number of people increased in t years would be
`850t`.

We are also told that on Beth's 9th birthday the total population was nearly 307,650. This means that t-intercept is 307,650.

The population of town t years after Beth's birthday would be
`P(t)=850t+307,650`.

To find population on Beth's 16th birthday, we will substitute
`t=7` in our equation as Beth's 16th birthday would be 7 years after 9th birthday.

`P(t)=850(7)+307,650`

`P(7)=5950+307,650`

`P(7)=313,600`

Therefore, the population on Beth's 16th birthday would be 313,600.