In 1990 the enrollment at Trenton East High School was 840. From 1990 through 1996 the enrollment increased at an average rate of 24 students per year. Write a linear model for the enrollment at Trenton East High School. Let x represent the number of years since 1990. Trenton East was built to hold 900 students. Write a linear inequality that represents the possible number of years since 1990 when the school's enrollment was less than the maximum capacity for which the school was built. Solve the inequality.

Question

Mathematics

Armstrong

21 November, 07:51

In 1990 the enrollment at Trenton East High School was 840. From 1990 through 1996 the enrollment increased at an average rate of 24 students per year. Write a linear model for the enrollment at Trenton East High School. Let x represent the number of years since 1990. Trenton East was built to hold 900 students. Write a linear inequality that represents the possible number of years since 1990 when the school's enrollment was less than the maximum capacity for which the school was built. Solve the inequality.

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Answers (2)

Know the Answer?

Nikolas Best · Answer 1

X x 26 = 26x + 840

Shirley Wallace · Answer 2

See below in bold.

Step-by-step explanation:

Linear model:

E = 24x + 840 where E is the enrolment.

If there are 900 students then

900 = 24x + 840

24x = 900-840 = 60

For E < 900 we have the inequality

24x < 60

x < 2.5

As we are dealing in years our answer is

x < 3 years.