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1. A rectangle has a perimeter of 14 m. Express the area of the rectangle as a function of the length of one of its sides. Answer: 7x-x² 2. The number of classrooms (C) in Peregrine School t years from now can be modelled by the equation C(t) = 400 + 25t. The number of students (S) in each classroom also increases with time, which can also be modelled by the equation S (t) = 25 + t. Write a formula for the total number of students in Peregrine School t years from now. Answer: 25t² + 1025t + 10,000

1. A rectangle has a perimeter of 14 m. Express the area of the rectangle as a function of the length of one of its sides. Answer: 7x-x² 2. The number of classrooms (C) in Peregrine School t years from now can be modelled by the equation C(t) = 400 + 25t. The number of students (S) in each classroom also increases with time, which can also be modelled by the equation S (t) = 25 + t. Write a formula for the total number of students in Peregrine School t years from now. Answer: 25t² + 1025t + 10,000

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. A rectangle has a perimeter of 14 m. Express the area of the rectangle as a function of the length of one of its sides. Answer: 7x-x² 2. The number of classrooms (C) in Peregrine School t years from now can be modelled by the equation C(t) = 400 + 25t. The number of students (S) in each classroom also increases with time, which can also be modelled by the equation S (t) = 25 + t. Write a formula for the total number of students in Peregrine School t years from now. Answer: 25t² + 1025t + 10,000
Transcribed Image Text:1. A rectangle has a perimeter of 14 m. Express the area of the rectangle as a function of the length of one of its sides. Answer: 7x-x² 2. The number of classrooms (C) in Peregrine School t years from now can be modelled by the equation C(t) = 400 + 25t. The number of students (S) in each classroom also increases with time, which can also be modelled by the equation S (t) = 25 + t. Write a formula for the total number of students in Peregrine School t years from now. Answer: 25t² + 1025t + 10,000
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