Question

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:
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.