Let's solve this step by step:
1. Calculate the total cost without discount:
The secretary needs to order 8 boxes of paper clips. Each box costs [tex]$£ 7.67$[/tex].
[tex]\[
\text{Total cost} = 8 \times 7.67 = £ 61.36
\][/tex]
2. Determine the discount rate:
According to the table:
- If the total order is between £40 and £54.99, the discount is 5%.
- If the total order is between £55 and £79.99, the discount is 6.5%.
- If the total order is £80 or more, the discount is 8%.
Since the total cost of £61.36 falls between £55 and £79.99, the discount rate is 6.5%.
3. Calculate the discount amount:
[tex]\[
\text{Discount amount} = 61.36 \times 0.065 = £ 3.9884
\][/tex]
4. Calculate the final amount to pay:
Subtract the discount amount from the total cost:
[tex]\[
\text{Amount to pay} = 61.36 - 3.9884 = £ 57.3716
\][/tex]
Therefore, the final amount the secretary will have to pay is £57.3716.