Answer :
To determine the number of days Jack rented the skip for, we can use the formula given:
[tex]\text{Cost (£)} = 40 \times \text{number of days} + 90[/tex]
We know Jack paid £330 for renting the skip, so we can set up the equation:
[tex]330 = 40 \times \text{number of days} + 90[/tex]
Let's solve for the number of days:
Subtract 90 from both sides to isolate the term with the days:
[tex]330 - 90 = 40 \times \text{number of days}[/tex]
[tex]240 = 40 \times \text{number of days}[/tex]
Divide both sides by 40 to solve for the number of days:
[tex]\frac{240}{40} = \text{number of days}[/tex]
[tex]6 = \text{number of days}[/tex]
Therefore, Jack rented the skip for 6 days.