Question

A new high school opens in a thriving suburban community. The number of students signed up to attend the school in its first year is 532, and the population of students is predicted to increase at a rate of 16% per year. Which inequality can the high school use to determine the number of years, t, until the student population is larger than 2,025?

Answer 1

532×1.16ᵗ>2025 is the inequality. The solution of the inequality is t=10 years.

Answer 2

It will take only 9 years to cross 2025 students.

Percentage

It represents how much amount of total we have.

Given

In the first year, we have 532 students.

In the t year, we have 2025 students.

The increasing rate is 16%

To find

The value of t.

How to calculate the years?

$\begin{aligned} \rm Student\ in\ t\ year &=\ (1.16)^{t} *\ student\ in\ first\ year\\2025 &= (1.16)^{t}*532\\1.16^{t} &= \dfrac{2025}{532} \\1.16^{t} &= 3.8063\\t\ log1.16 &= log 3.8063\\t &= \dfrac{log3.8063}{log1.16} \\t &= 9.0067(9)\\\end{aligned}$

Thus, it will take only 9 years to cross 2025 students.

More about the Percentage link is given below.

https://brainly.com/question/8011401