1) Norma is hosting a movie marathon over the weekend. There will be p people at the party altogether. Norma estimates she'll need one bag of cheese popcorn and one pack of gummy worms per person. A bag of cheese popcorn costs \( \$ 2.50 \), and a pack of gummy worms costs \( \$ 1.50 \). 1) Pick all the expressions that represent how much money Norma will spend on cheese popcorn and gummy worms. \[ 2.50(p+1)+1.50(p+1) \] \( 2.50 p+1.50 p \) \( 4(2.50+1.50) \)

To determine which expressions correctly represent the total amount Norma will spend on cheese popcorn and gummy worms for \( p \) people, let's break down the costs: 1. **Cheese Popcorn:** - Cost per person: \( \$2.50 \) - Total cost for \( p \) people: \( 2.50p \) 2. **Gummy Worms:** - Cost per person: \( \$1.50 \) - Total cost for \( p \) people: \( 1.50p \) **Total Cost:** \[ 2.50p + 1.50p = 4.00p \] Now, let's evaluate each of the provided expressions: 1. **Expression 1:** \( 2.50(p + 1) + 1.50(p + 1) \) - This simplifies to \( 4(p + 1) = 4p + 4 \), which incorrectly adds an extra \( \$4 \) regardless of the number of people. **This is incorrect.** 2. **Expression 2:** \( 2.50p + 1.50p \) - This simplifies to \( 4.00p \), which accurately represents the total cost based on the number of people. **This is correct.** 3. **Expression 3:** \( 4(2.50 + 1.50) \) - This simplifies to \( 4 \times 4 = 16 \), which is a fixed amount and does not account for the variable number of people \( p \). **This is incorrect.** **Conclusion:** Only the second expression correctly represents the total amount Norma will spend based on the number of people attending. **Correct Expression:** \[ 2.50p + 1.50p \]