1. **State the problem:** Tisha buys a club membership for 5 dollars and then buys nail art pens at 6 dollars each. We want to find her total cost for different quantities of pens and an expression for the total cost. 2. **Define variables and units:** Let $C$ be the total cost in dollars. Let $p$ be the number of nail art pens purchased (in pens). 3. **Write the expression for total cost:** The total cost $C$ includes the membership fee plus the cost of pens: $$C = 5 + 6p$$ 4. **Calculate total cost for 9 pens:** Substitute $p=9$: $$C = 5 + 6 \times 9 = 5 + 54 = 59$$ So, Tisha pays 59 dollars for 9 pens. 5. **Calculate total cost for 13 pens:** Substitute $p=13$: $$C = 5 + 6 \times 13 = 5 + 78 = 83$$ So, Tisha pays 83 dollars for 13 pens. 6. **Find number of pens if total cost is 71 dollars:** Set $C=71$ and solve for $p$: $$71 = 5 + 6p$$ Subtract 5 from both sides: $$71 - 5 = 6p$$ $$66 = 6p$$ Divide both sides by 6: $$p = \frac{66}{6} = 11$$ So, Tisha bought 11 pens. 7. **Complete the table:** | Quantity Name | Nail Art Pens (pens) | Cost (dollars) | |---------------|----------------------|----------------| | Unit | 1 | $5 + 6 \times 1 = 11$ (expression unit cost) | | Question 1 | 9 | 59 | | Question 2 | 13 | 83 | | Question 3 | 11 | 71 | 8. **Summary:** - Discounted price per pen: 6 dollars - Price of club membership: 5 dollars - Expression for total cost: $$C = 5 + 6p$$ This expression allows you to calculate the total cost for any number of pens $p$ after buying the membership.