Questions: Write the unit cost, rounded to the nearest cent.
If 11 compact discs cost 167.85, then one compact disc costs 15.2591.
Transcript text: Write the unit cost, rounded to the nearest cent.
If 11 compact discs cost $\$ 167.85$, then one compact disc costs $\$ 15.2591$.
Solution
Solution Steps
To find the unit cost, we need to divide the total cost by the number of items. In this case, we divide the total cost of the compact discs by the number of discs to find the cost per disc. Finally, we round the result to the nearest cent.
Step 1: Calculate the Unit Cost
To find the unit cost of one compact disc, we divide the total cost by the number of discs:
\[
\text{Unit Cost} = \frac{\text{Total Cost}}{\text{Number of Discs}} = \frac{167.85}{11} \approx 15.2591
\]
Step 2: Round the Unit Cost
Next, we round the unit cost to the nearest cent:
\[
\text{Rounded Unit Cost} = 15.2591 \approx 15.26
\]
Final Answer
The unit cost of one compact disc, rounded to the nearest cent, is \\(\boxed{15.26}\\).