Question

mrs. garcias sandwich shop sells a 6-inch sandwich for $3.00 and a 12-inch sandwich for $4.80. keisha wants to compare the unit rates to determine which sandwich is the better deal. which statement correctly compares the unit rates? a 12-inch sandwich is the better deal because it costs $0.40 per inch, and the 6-inch sandwich costs $0.50 per inch. a 12-inch sandwich is the better deal because it costs $0.40 per inch, and the 6-inch sandwich costs $0.80 per inch. a 6-inch sandwich is the better deal because $3.00 is less than $4.80. a 6-inch sandwich is the better deal because it costs $0.25 per inch, and the 12-inch sandwich costs $0.50 per inch.

Explanation:

Step1: Calculate unit rate for 6 - inch sandwich

To find the unit rate (cost per inch) for the 6 - inch sandwich, we divide the total cost by the number of inches. The formula for unit rate is $\text{Unit Rate}=\frac{\text{Total Cost}}{\text{Number of Inches}}$. For the 6 - inch sandwich, total cost is $\$3.00$ and number of inches is 6. So, $\frac{3.00}{6} = 0.50$ dollars per inch.

Step2: Calculate unit rate for 12 - inch sandwich

For the 12 - inch sandwich, total cost is $\$4.80$ and number of inches is 12. Using the same unit rate formula, $\frac{4.80}{12}=0.40$ dollars per inch.

Step3: Compare the unit rates

We have the unit rate for 6 - inch as $\$0.50$ per inch and for 12 - inch as $\$0.40$ per inch. Since $0.40<0.50$, the 12 - inch sandwich has a lower unit rate, so it is a better deal.

Answer:

A 12 - inch sandwich is the better deal because it costs $\$0.40$ per inch, and the 6 - inch sandwich costs $\$0.50$ per inch.