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. $$ 2.50(p+1)+1.50(p+1) $$ $$ 2.50 p+1.50 p $$ $$ 4(2.50+1.50) $$

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UpStudy AI · Accepted Answer

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:**
$$
2.50p + 1.50p
$$
The correct expression is $$ 2.50p + 1.50p $$.

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