A student decides she wants to save money to buy a used car, which costs $2600. She comes up with what she thinks is a very modest savings plan. She decides to save 2 cents the first day and double the amount she saves each day thereafter. On the second day she plans to save 4 cents, on the third day, 8 cents, and so on.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.3: Multiplying Polynomials
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Problem 6
A student decides she wants to save money to buy a used car, which costs $2600. She
comes up with what she thinks is a very modest savings plan. She decides to save 2 cents
the first day and double the amount she saves each day thereafter. On the second day she
plans to save 4 cents, on the third day, 8 cents, and so on.
(a) Write an expression that represents the amount saved on day n;
(b) Write an expression that represents the total amount saved by day n (including
:(u Aop
(c) Determine how long it will take her to save enough money to buy the car (The
answer may surprise you!)
Transcribed Image Text:Math Problem 6 A student decides she wants to save money to buy a used car, which costs $2600. She comes up with what she thinks is a very modest savings plan. She decides to save 2 cents the first day and double the amount she saves each day thereafter. On the second day she plans to save 4 cents, on the third day, 8 cents, and so on. (a) Write an expression that represents the amount saved on day n; (b) Write an expression that represents the total amount saved by day n (including :(u Aop (c) Determine how long it will take her to save enough money to buy the car (The answer may surprise you!)
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