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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

Respuesta :

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

[tex]532(1.16)^{t-1} \ \textless \ 2025[/tex]

Answer:

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

Step-by-step explanation:

I just took a test with this question on it and got it right.

Hope this helps! :)

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