Questions: Decide which of the two given prices is the better deal and explain why. You can buy shampoo in a 5 -ounce bottle for 2.69 or in a 15 -ounce bottle for 11.19.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The 15 -ounce bottle is the better deal because the cost per ounce is per ounce while the 5 -ounce bottle is per ounce. B. The 5 -ounce bottle is the better deal because the cost per ounce is per ounce while the 15 -ounce bottle is per ounce. (Round to the nearest cent as needed.)
Transcript text: Decide which of the two given prices is the better deal and explain why.
You can buy shampoo in a 5 -ounce bottle for $\$ 2.69$ or in a 15 -ounce bottle for $\$ 11.19$.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The 15 -ounce bottle is the better deal because the cost per ounce is $\$$ $\square$ per ounce while the 5 -ounce bottle is $\$$ $\square$ per ounce.
B. The 5 -ounce bottle is the better deal because the cost per ounce is $\$$ $\square$ per ounce while the 15 -ounce bottle is $\$$ $\square$ per ounce.
(Round to the nearest cent as needed.)
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Solution
Solution Steps
Step 1: Calculate cost per unit for option 1
To find the cost per unit for the first option, we use the formula: \[cost\_per\_unit\_1 = \frac{C_1}{V_1}\]
Substituting the given values: \[cost\_per\_unit\_1 = \frac{2.69}{5} = 0.54\]
Step 2: Calculate cost per unit for option 2
To find the cost per unit for the second option, we use the formula: \[cost\_per\_unit\_2 = \frac{C_2}{V_2}\]
Substituting the given values: \[cost\_per\_unit\_2 = \frac{11.19}{15} = 0.75\]
Final Answer:
Option 1 is the better deal with a cost per unit of 0.54, compared to Option 2's cost per unit of 0.75.