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Answer:
313,600
Step-by-step 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 .
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 .
To find population on Beth's 16th birthday, we will substitute in our equation as Beth's 16th birthday would be 7 years after 9th birthday.
Therefore, the population on Beth's 16th birthday would be 313,600.