In 2014, the number of full-time students at your local community college was 1550. The admissions office anticipates that the enrollment will increase at a constant rate of 70 students per year for the next several years. a. Write a verbal rule to determine the enrollment of full-time students in a given number of years after 2014. O A. The number of students in a year can be calculated by adding 70 to the product of the number of years after 2014 and 1550. B. The number of students in a year can be calculated by adding 1550 to the product of the number of years after 2014 and 70. OC. The number of students in a year can be calculated by subtracting 1550 from the product of the number of years after 2014 and 70. O D. The number of students in a year can be calculated by subtracting 70 from the product of the number of years after 2014 and 1550. b. Translate the verbal rule in part a into a symbolic rule. Use N to represent the total enrollment of full-time students andt to represent the number of years after 2014. N= 1550 + 70t (Type an equation.) c. Determine the total enrollment of full-time students in 2017. (Simplify your answer.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
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In 2014, the number of full-time students at your local community college was 1550. The admissions office anticipates that the enrollment will increase at a constant rate of 70 students per year for the next several years.
a. Write a verbal rule to determine the enrollment of full-time students in a given number of years after 2014.
A. The number of students in a year can be calculated by adding 70 to the product of the number of years after 2014 and 1550.
B. The number of students in a year can be calculated by adding 1550 to the product of the number of years after 2014 and 70.
O C. The number of students in a year can be calculated by subtracting 1550 from the product of the number of years after 2014 and 70.
D. The number of students in a year can be calculated by subtracting 70 from the product of the number of years after 2014 and 1550.
b. Translate the verbal rule in part a into a symbolic rule. Use N to represent the total enrollment of full-time students and t to represent the number of years after 2014.
N= 1550 + 70t (Type an equation.)
c. Determine the total enrollment of full-time students in 2017.
(Simplify your answer.)
Transcribed Image Text:In 2014, the number of full-time students at your local community college was 1550. The admissions office anticipates that the enrollment will increase at a constant rate of 70 students per year for the next several years. a. Write a verbal rule to determine the enrollment of full-time students in a given number of years after 2014. A. The number of students in a year can be calculated by adding 70 to the product of the number of years after 2014 and 1550. B. The number of students in a year can be calculated by adding 1550 to the product of the number of years after 2014 and 70. O C. The number of students in a year can be calculated by subtracting 1550 from the product of the number of years after 2014 and 70. D. The number of students in a year can be calculated by subtracting 70 from the product of the number of years after 2014 and 1550. b. Translate the verbal rule in part a into a symbolic rule. Use N to represent the total enrollment of full-time students and t to represent the number of years after 2014. N= 1550 + 70t (Type an equation.) c. Determine the total enrollment of full-time students in 2017. (Simplify your answer.)
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