Question

The Algebros (Mr. Bean, Mr. Brust, Mr. Kelly, and Mr. Sullivan) currently have combined to teach over 10,000 students right now. Each year that number increases by 450 students. What is an equation that shows the total number of students taught? Define your variables.

a) T=450n+10,000, where T is the total number of students taught and n is the number of years.
b) T=10,000n+450, where T is the total number of students taught and n is the number of years.
c)T=10,000+450n, where T is the total number of students taught and n is the number of years.
d) T=450+10,000n, where T is the total number of students taught and n is the number of years.

Answer 1

The correct equation to show the total number of students taught as it increases each year is T=10,000+450n, where T is the total number of students and n is the number of years.

Step-by-step explanation:

The equation that shows the total number of students taught by the Algebros each year as it increases is an example of a linear equation. From the options given, option c) T=10,000+450n is the correct equation. Here, T represents the total number of students taught and n signifies the number of years. The initial number of students is 10,000 and each year this number grows by 450 students. Therefore, for every additional year n, 450 students are added to the initial count of 10,000.