Question

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.​

Answer 1

X x 26= 26x +840

Explanation:

Answer 2

See below in bold.

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 .