Answer:
Average price, excluding taxes, for each CD is 10.20.
Step-by-step explanation:
Given:
Cost of first 5 CDs, [tex]C_1 = 3.00[/tex]
Cost of each additional CD = 15.00
Now, cost of 10 additional CDs is the product of cost of one CD and total number of additional CDs. Therefore,
Cost of 10 additional CDs is, [tex]C_2=15.00\times 10=150.00[/tex]
Now, total CDs purchased by Jana are, [tex]N=5+10=15[/tex]
Total cost of the 15 CDs purchased is given as:
[tex]C_T=C_1+C_2=3.00+150.00=153.00[/tex]
Now, average price, excluding taxes, for each CD is given as:
[tex]\textrm{Average price}=\frac{\textrm{Total cost of purchase}}{\textrm{Total number of CDs purchased}}\\\\\textrm{Average price}=\frac{C_T}{N}=\frac{153.00}{15}=10.20[/tex]
Therefore, the average price, excluding taxes, for each CD is 10.20.