15. Scott Fallstrom once Epoke with his kids on the first day of the month of April about allowances. He gave cach of his kids two options for allowances that would be paid for the entire litun of April. Think about what you wouid choose and be able to explain your result. If you'd like, you can also graph the values once you find them. d. Option 1: paid $5 on the first day, $10 on the second day, $15 on the third day, and so on (arithmetic sequence). Find how much was paid in allowance on the last day of April. b. Option 2: paid 1¢ on the first day, 2¢ on the second day, 4¢ on the third day, and so on (geometric sequence). Find how much was paid in allowance on the last day of April. c. Find the total amount of money that would be paid out for the whole month using "Option 1" (a, + a, n with the formula: Sum = 2 d. Find the total amount of money that would be paid out for the whole month using "Option 2 with the formula: Sum = a- (1-r) e. Is it possible for Scott to be able to make this claim and back it up? f. Does the day of the discussion change your answer to part (c)? Why or why not? 16. The population of the world is growing with a geometric pattern. Food production in the wor
15. Scott Fallstrom once Epoke with his kids on the first day of the month of April about allowances. He gave cach of his kids two options for allowances that would be paid for the entire litun of April. Think about what you wouid choose and be able to explain your result. If you'd like, you can also graph the values once you find them. d. Option 1: paid $5 on the first day, $10 on the second day, $15 on the third day, and so on (arithmetic sequence). Find how much was paid in allowance on the last day of April. b. Option 2: paid 1¢ on the first day, 2¢ on the second day, 4¢ on the third day, and so on (geometric sequence). Find how much was paid in allowance on the last day of April. c. Find the total amount of money that would be paid out for the whole month using "Option 1" (a, + a, n with the formula: Sum = 2 d. Find the total amount of money that would be paid out for the whole month using "Option 2 with the formula: Sum = a- (1-r) e. Is it possible for Scott to be able to make this claim and back it up? f. Does the day of the discussion change your answer to part (c)? Why or why not? 16. The population of the world is growing with a geometric pattern. Food production in the wor
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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Question
15 c & d
Transcribed Image Text:15. Scott Failstrom once spcke with his kids on the first day of the month of April about
allowances. He gave each of his kids two options for allowances that would be paid for the entire
month of April. Think about what you would choose and be able to explain your result. If you'd
like, you can also graph the values once you find them.
a. Option 1: paid $5 on the first day, $10 on the second day, $15 on the third day, and so on
(arithmetic sequence). Find how much was paid in allowance on the last day of April.
b. Option 2: paid 1¢ on the first day, 2¢ on the second day, 4¢ on the third day, and so on
(geometric sequence). Find how much was paid in allowance on the last day of April.
c. Find the total amount of money that would be paid out for the whole month using "Option 1"
(a, + a, )n
with the formula: Sum =
d. Find the total amount of money that would be paid out for the whole month using "Option 2'
(1-")
(1-r)
with the formula: Sum = a
e. Is it possible for Scott to be able to make this claim and back it up?
f. Does the day of the discussion change your answer to part (c)? Why or why not?
16. The population of the world is growing with a geometric pattern. Food production in the wor
growing with an arithmetic pattern. Describe what this could mean for the world.
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