To determine the total cost for Lindy and her friends to order 4 drinks and a medium pizza with 3 toppings, we'll follow these steps:
1. Identify the quantities and costs involved:
- Number of drinks ([tex]\( d \)[/tex]): 4
- Number of toppings ([tex]\( t \)[/tex]): 3
- Cost per drink: \[tex]$2.25
- Cost per topping: \$[/tex]1.40
- Base cost for a medium pizza: \[tex]$6.00
2. Calculate the total cost before applying the discount:
\[
\text{Total cost before discount} = (2.25 \times d) + (1.40 \times t) + 6
\]
Substituting the values of \( d \) and \( t \):
\[
\text{Total cost before discount} = (2.25 \times 4) + (1.40 \times 3) + 6
\]
3. Perform the calculations inside the parentheses:
\[
\text{Cost of drinks} = 2.25 \times 4 = 9.00
\]
\[
\text{Cost of toppings} = 1.40 \times 3 = 4.20
\]
\[
\text{Base cost of pizza} = 6.00
\]
4. Add these amounts together:
\[
\text{Total cost before discount} = 9.00 + 4.20 + 6.00 = 19.20
\]
5. Apply the 10% employee discount:
To apply a 10% discount, we multiply the total cost before discount by 0.90 (equivalent to 100% - 10%):
\[
\text{Total cost after discount} = 0.90 \times 19.20 = 17.28
\]
Therefore, the total cost for 4 drinks and a medium pizza with 3 toppings after applying the employee discount is \(\$[/tex]17.28\).
Thus, the correct answer is:
A. [tex]\(\$ 17.28\)[/tex]
