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

D) 532(1.16)^t > 2,025; 10 years

Explanation:

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Answer 2

The number of students in the first year is 532. In the second year, this will increase by 16%, which is
`532(1.16)`. Each year, another factor of 1.16 will be multiplied. Therefore, the general function will be
`532(1.16)^(t-1)`. The inequality that determines until when this is larger than 2025 will be:


`532(1.16)^(t-1) \ \textless \ 2025`