Step 1 :First, we need to find the total number of cookies Dave bought. This can be done by multiplying the number of packets by the number of cookies in each packet. So, \(total\_cookies = total\_packets \times cookies\_per\_packet = 13 \times 15 = 195\).
Step 2 :Then, we divide the total cost by the total number of cookies to find the cost of each cookie. So, \(cost\_per\_cookie = \frac{total\_cost}{total\_cookies} = \frac{27.95}{195} = 0.14333333333333334\).
Step 3 :Finally, we round the cost of each cookie to the nearest tenth of a cent. So, the cost of each cookie is approximately \(\boxed{0.14}\).