Question

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?
plan A
plan B
plan c
plan D

Answer 1

C

Explanation:

got it right

Answer 2

The price of the Bagels reaches $8 the fastest in 6 weeks, obtained by following plan C

Explanation:

Step 1 :

Given,

Current price of the Bagel = $5

Planned price of the Bagel = $8

Step 2 :

Plan A

The price is raised by $0.05 each week until the price reaches $8.00

The number of weeks the price rise has to happen to reach $8 = 8÷ 0.05

= 160 weeks

Step 3 :

Plan B

The price is raised by 10 percent each week until the price reaches $8.00

10% of $ 8 = $0.8

So the price has to be raised by $.8 every week

The number of weeks the price rise has to happen to reach $8 = 8÷ 0.0.8

= 10 weeks

Step 4 :

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.

The number of weeks the price rise has to happen to reach $8 = 6 weeks

Step 5 :

Plan D

The price is raised by $0.25 each week until the price reaches $8.00

The number of weeks the price rise has to happen to reach $8 = 8÷ 0.25

= 32 weeks

Step 6 :

Answer :

From all the steps above we can see that,

The price of the Bagels reaches $8 the fastest in 6 weeks, obtained by following plan C