Answer :
Let's find the expression that represents the total amount of money Arianna earns this week by looking at her work schedule and tasks:
1. Monday: Arianna works for 3 hours cutting hair. If she earns [tex]\( c \)[/tex] dollars per hour, then her earnings for Monday are calculated as:
[tex]\[
\text{Earnings on Monday} = 3 \times c = 3c
\][/tex]
2. Tuesday: Arianna works for 2 hours cutting hair. Similarly, her earnings for Tuesday are:
[tex]\[
\text{Earnings on Tuesday} = 2 \times c = 2c
\][/tex]
3. Wednesday: Arianna earns \$95 as she is answering the phone on this day. Her earnings for Wednesday are simply:
[tex]\[
\text{Earnings on Wednesday} = 95
\][/tex]
Now, to find the total earnings for the week, we add up her earnings from each day:
[tex]\[
\text{Total Earnings} = (\text{Earnings on Monday}) + (\text{Earnings on Tuesday}) + (\text{Earnings on Wednesday})
\][/tex]
Substitute the earnings for each day:
[tex]\[
\text{Total Earnings} = 3c + 2c + 95
\][/tex]
This matches the expression provided in the options. Therefore, the correct expression that represents the total amount of money Arianna earns this week is:
[tex]\[
3c + 2c + 95
\][/tex]
So, the answer is:
Option 1: [tex]\(3c + 2c + 95\)[/tex].
1. Monday: Arianna works for 3 hours cutting hair. If she earns [tex]\( c \)[/tex] dollars per hour, then her earnings for Monday are calculated as:
[tex]\[
\text{Earnings on Monday} = 3 \times c = 3c
\][/tex]
2. Tuesday: Arianna works for 2 hours cutting hair. Similarly, her earnings for Tuesday are:
[tex]\[
\text{Earnings on Tuesday} = 2 \times c = 2c
\][/tex]
3. Wednesday: Arianna earns \$95 as she is answering the phone on this day. Her earnings for Wednesday are simply:
[tex]\[
\text{Earnings on Wednesday} = 95
\][/tex]
Now, to find the total earnings for the week, we add up her earnings from each day:
[tex]\[
\text{Total Earnings} = (\text{Earnings on Monday}) + (\text{Earnings on Tuesday}) + (\text{Earnings on Wednesday})
\][/tex]
Substitute the earnings for each day:
[tex]\[
\text{Total Earnings} = 3c + 2c + 95
\][/tex]
This matches the expression provided in the options. Therefore, the correct expression that represents the total amount of money Arianna earns this week is:
[tex]\[
3c + 2c + 95
\][/tex]
So, the answer is:
Option 1: [tex]\(3c + 2c + 95\)[/tex].