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A certain school had 1,500 students enrolled in 2005 and 2,100 students enrolled in 2010. If the students' population P, grows as linear function of time t, where t is the number of years after 2005, how many students will enroll in that school in the year 2020?
A certain school had 1,500 students enrolled in 2005 and 2,100 students enrolled in 2010. If the students' population P, grows as linear function of time t, where t is the number of years after 2005, how many students will enroll in that school in the year 2020?
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Answer:
3300 in 2020
Solution:
2005 = 1500
2010 = 2100
2100 - 1500 = 600
Let x be the year after 2005
t = x - 2005
t = 2010 - 2005
t = 5
P = 120t + 1500
P = 120 (5) + 1500
P = 600 + 1500
P = 2100
Therefore in 2010, the population is 2100 which is correct base on the given.
In 2020 what is P?
t = x - 2005
t = 2020 - 2005
t = 15
P = 120t + 1500
P = 120 (15) +1500
P = 3300
Therefore in 2020, the population is 3300
Thank you soso(100x) much! <333