1. Expand the polynomial to show the daily spending for 2 people.

[tex]\[ 2(100 + x) = 200 + 2x \][/tex]

2. Write an expression using your answer to question 1 to represent the spending for 3 days.

[tex]\[ 3(200 + 2x) \][/tex]



Answer :

Sure, let's go through the problem step-by-step.

### 1. Expand the polynomial to show the daily spending for 2 people.

Given the daily spending per person is [tex]\(100 + x\)[/tex].

For two people, the daily spending would be:
[tex]\[ 2(100 + x) = 200 + 2x \][/tex]

So, the daily spending for 2 people is:
[tex]\[ 200 + 2x \][/tex]

### 2. Write an expression using your answer to question 1 to represent the spending for 3 days.

If the daily spending for 2 people is [tex]\(200 + 2x\)[/tex], then for 3 days, the total spending would be:

[tex]\[ 3 \times (200 + 2x) = 600 + 6x \][/tex]

Thus, the total spending for 2 people for 3 days is:
[tex]\[ 600 + 6x \][/tex]