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

Plan B will result in the price of the bagels reaching $8.00 the fastest.

Step-by-step explanation:

Step 1:

If the price is raised by $0.05 each week until it reaches $8.00.

The difference in values is .

The number of weeks for the price to reach $8.00 if it is increased by $0.05 every week = .

Plan A would take 60 weeks.

Step 2:

For plan B, the price is raised by 10% each week until it reaches $8.00.

The price in the first week, ,

The price in the second week, ,

The price in the third week, ,

The price in the fourth week, ,

The price in the fifth week, .

Plan B would take 5 weeks.

Step 3:

For plan C, it is given that the price will reach $8.00 in the sixth week.

So plan C would take 6 weeks.

Step 4:

If the price is raised by $0.25 each week until it reaches $8.00.

The difference in values is .

The number of weeks for the price to reach $8.00 if it is increased by $0.25 every week = .

Plan D would take 12 weeks.

Step 5:

Of the 4 plans, plan B will reach $8.00 the fastest.

the least common denominator is 40

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