Question

circle city has two bagel shops-evermore bagels and bagel bills. 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 bills. in the equation, y represents the cost in dollars to buy x bagels: y = 0.95x which shop charges less per bagel? evermore bagels bagel bills how much less does that shop charge per bagel? $ less

Explanation:

Step1: Calculate unit price for Evermore Bagels

For Evermore Bagels, use the formula for unit price \( \text{Unit Price}=\frac{\text{Cost}}{\text{Number of Bagels}} \).
Using the first row of the table (\(3\) bagels cost \( \$2.97\)), the unit price \(p_1=\frac{2.97}{3}=0.99\) dollars per bagel.

Step2: Identify unit price for Bagel Bill's

For the equation \(y = 0.95x\) (where \(y\) is the cost and \(x\) is the number of bagels), the unit - price \(p_2\) is the coefficient of \(x\). In a proportional relationship \(y=kx\), \(k\) is the constant of proportionality (unit price). So, \(p_2 = 0.95\) dollars per bagel.

Step3: Compare unit prices

Compare \(p_1 = 0.99\) and \(p_2=0.95\). Since \(0.95<0.99\), Bagel Bill's charges less per bagel.

Step4: Calculate the difference in unit prices

Find the difference \(d=p_1 - p_2\). Substitute \(p_1 = 0.99\) and \(p_2 = 0.95\) into the formula: \(d=0.99 - 0.95=0.04\)

Answer:

Bagel Bill's charges less per bagel. The difference is \(\$0.04\) less.