Circle City has two bagel shops—Evermore Bagels and Bagel Bill's. There is a proportional relationship between the number of bagels a customer buys and the total cost of the bagels. This table shows how much bagels cost at Evermore Bagels:

Question

Evermore Bagels
Bagels Cost
3 $2.97
6 $5.94
12 $11.88
This equation describes the cost of bagels at Bagel Bill's. In the equation, y represents the cost in dollars to buy x bagels:
y=0.95x
Which shop charges less per bagel?

How much less does that shop charge per bagel?

Answer 1

To determine which shop charges less per bagel, we can start by calculating the price per bagel at Evermore Bagels from the data provided in the table.

Evermore Bagels cost calculation:

• For 3 bagels: \[ \text{Cost per bagel} = \frac{2.97}{3} = 0.99 \text{ dollars per bagel} \]

• For 6 bagels: \[ \text{Cost per bagel} = \frac{5.94}{6} = 0.99 \text{ dollars per bagel} \]

• For 12 bagels: \[ \text{Cost per bagel} = \frac{11.88}{12} = 0.99 \text{ dollars per bagel} \]

From these calculations, we see that Evermore Bagels charges $0.99 per bagel consistently.

Bagel Bill's cost calculation: The cost per bagel at Bagel Bill's can be found using the equation \(y = 0.95x\):

• The cost per bagel is: \[ \text{Cost per bagel} = \frac{y}{x} = \frac{0.95x}{x} = 0.95 \text{ dollars per bagel} \]

Comparison:

• Evermore Bagels: $0.99 per bagel
• Bagel Bill's: $0.95 per bagel

Now, let's find out how much less Bagel Bill's charges compared to Evermore Bagels:

\[ 0.99 - 0.95 = 0.04 \text{ dollars} \]

Conclusion: Bagel Bill's charges less for bagels than Evermore Bagels by $0.04 per bagel.