The population at bishop high school is 2000 students in 2011. every year the population decreases by 50 studentswrite a function to describe the population of bishop high school after t years if t=0 in 2011find the projected population of the high school in 2015when will the population be 1600 students?

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also,  Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then,

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

Now, 2011+8=2019

Hence, in 2019 the population be 1600 students

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