Math  /  Algebra

QuestionThe population of a small town in Alabama has shown a linear decline in the years 2000 to 2015. The population in 2000 was 8608 , and in 2015 the population was 7798.
Write a linear equation expressing the population of this town, PP, as a function of tt, the number of years since 2000. P(t)=P(t)= \square Be sure to use tt as your variable!
If the town is still experiencing the same rate of population decline, what will the population be in 2022? \square

Studdy Solution
Use the linear equation to find the population in 2022.
First, calculate the number of years since 2000 for the year 2022: t=20222000=22 t = 2022 - 2000 = 22 .
Substitute t=22 t = 22 into the linear equation:
P(22)=54(22)+8608 P(22) = -54(22) + 8608 P(22)=1188+8608 P(22) = -1188 + 8608 P(22)=7420 P(22) = 7420
The population in 2022 is:
7420 \boxed{7420}

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