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;
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
day n);
(c) Determine how long it will take her to save enough money to buy the car (The
answer may surprise you!)
(d) Challenge: Come up with the savings plan to buy a car you want. Describe the
plan and how long it will take you to save money.
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