Potatoes cost Janice $1.10 per pound, and she has $6.00 that she could possibly spend on potatoes or other items. If she feels that the first pound of potatoes is worth $1.50, the second pound is worth $1.14, the third pound is worth $1.05, and all subsequent pounds are worth $0.30, how many pounds of potatoes will she purchase? What if she only had $3.00 to spend?

Respuesta :

Answer: 10 pounds of potatoes, and with $3.00, she cannot afford any more pounds after the first three pounds.

Explanation:

Let's break down the problem step by step:

1. With $6.00 to spend:

  - The first pound costs $1.50, the second pound costs $1.14, and the third pound costs $1.05.

  - After these three pounds, Janice has spent $3.69 ($1.50 + $1.14 + $1.05).

  - She has $6.00 - $3.69 = $2.31 left to spend on potatoes.

  - The subsequent pounds cost $0.30 each.

  - So, Janice can buy additional pounds: $2.31 / $0.30 per pound ≈ 7.7 pounds.

  - However, since she can only purchase whole pounds, she will buy 7 additional pounds.

  - In total, she will purchase 3 (first three pounds) + 7 (additional pounds) = 10 pounds of potatoes.

2. With $3.00 to spend:

  - The first pound costs $1.50, the second pound costs $1.14, and the third pound costs $1.05.

  - After these three pounds, Janice has spent $3.69 ($1.50 + $1.14 + $1.05).

  - She has $3.00 - $3.69 = -$0.69, which means she cannot afford any more pounds.

In summary, with $6.00, Janice can purchase 10 pounds of potatoes, and with $3.00, she cannot afford any more pounds after the first three pounds.