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Every day on this trip, you'll have some essentials to buy. Let's say you spend [tex]$\$[/tex] 100$ on essentials each day. Let the variable [tex]\(x\)[/tex] represent what you spend on everything else in a day.

1. Write an expression that represents your daily spending: [tex]\[100 + x\][/tex]

But there are two of you on this trip!

2. Expand the polynomial to show the daily spending for 2 people: [tex]\[2(100 + x) = \][/tex]

Type your answer above!

But your trip will be more than one day, won't it?!



Answer :

GinnyAnswer
To show the daily spending for 2 people, we need to expand the given polynomial expression.

Let's start with the given expression for one person's daily spending:
[tex]\[ 100 + x \][/tex]

Since there are two people on this trip, we need to multiply this expression by 2:
[tex]\[ 2(100 + x) \][/tex]

Now, let's expand this expression using the distributive property:
[tex]\[ 2 \times 100 + 2 \times x \][/tex]

This simplifies to:
[tex]\[ 200 + 2x \][/tex]

Therefore, the expanded polynomial to represent the daily spending for 2 people is:
[tex]\[ 2(100 + x) = 200 + 2x \][/tex]

This represents the total daily spending for both individuals on the trip.

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