10
QuizMultiple Choice

Linear Growth vs. Exponential Growth

Question 10 • AZ-Common Core Algebra II B

Barry’s Bagel Emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides to raise the price. He does not want to alarm his customers with too large of an increase. He is considering four different plans.Plan A: Raise the price by $0.05 each week until the price reaches $8.00.Plan B: Raise the price by 10 percent each week until the price reaches $8.00.Plan C: Raise the price by the same amount each week for 6 weeks, so that in the sixth week the price is $8.00.Plan D: Raise the price by $0.25 each week until the price reaches $8.00.Which plan will result in the price of the bagels reaching $8.00 fastest?

Answer
A
plan A
B
plan B
C
plan C
D
plan D

Explanation

With Plan B, the price increases by 10% each week: after 4 weeks, $5.00 × 1.1⁴ = $7.32, and after 5 weeks it is about $8.05, so it reaches the $8.00 target during the fifth increase. Plan C takes 6 weeks, Plan D takes 12 weeks ($3.00 ÷ $0.25), and Plan A takes 60 weeks ($3.00 ÷ $0.05). Therefore, Plan B is fastest.

AI-written and checked against the verified answer.

Previous
Next