Question
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Select the correct answer from each drop-down menu.
The function below describes the number of students who enrolled at a university, where represents the number of students and represents the time
in years.
Initially,
factor of

Ask by Martin Gordon. in the United States
Jan 31,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Initially, there are 18,500 students, and the growth factor is 1.03.

Solution

Initially, 18,500; factor of 1.03.
Explanation:
  • Initially: The initial number of students is represented by the coefficient in the function , which is 18,500.
  • Factor: The growth factor is the base of the exponential term, which is 1.03. This indicates a 3% growth each year.

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Mind Expander

The function indicates that the initial number of students enrolled is 18,500 when . As for the growth factor, the base of the exponential term, 1.03, suggests that the student enrollment grows by 3% each year. So, the correct answer to the first drop-down menu would involve a reference to the initial number of students, and for the second drop-down menu, it would involve identifying the growth factor of 1.03.
To visualize this growth, picture a tiny snowball rolling down a hill; each year it gathers more snow (students) and gets bigger (higher enrollment)! Soon enough, you have a massive snowman of knowledge on campus.
And if you think about it, many universities track this information to prepare for future years—ensuring they hire enough faculty or expand their facilities to accommodate those eager learners joining!

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