Question

a high school had 1,350 students in 2015. the function s(x) = 1,350(1.026)^x models the predicted number of students x years after 2015. by approximately how many students is the school expected to grow between 2019 and 2025?
a 250
b 400
c 1,500
d 1,750

Explanation:

Step1: Calculate x for 2019

x = 2019 - 2015 = 4

Step2: Calculate x for 2025

x = 2025 - 2015 = 10

Step3: Find students in 2019

s(4) = 1350(1.026)^4 ≈ 13501.108 ≈ 1496

Step4: Find students in 2025

s(10) = 1350(1.026)^10 ≈ 13501.295 ≈ 1748

Step5: Calculate growth

1748 - 1496 ≈ 252 (closest to 250)

Answer:

A. 250