College

Arianna is a stylist at a salon. She earns a different amount of money each day depending on what task she does. She earns [tex]\$95[/tex] for the day if she is answering the phone. She earns [tex]c[/tex] dollars per hour cutting hair. The table shows Arianna's work schedule this week.

Which expression represents the total amount of money Arianna earns this week?

A. [tex]3c + 2c + 95[/tex]
B. [tex]3c + 2c + 95c[/tex]
C. [tex]3 + 2 + 95c[/tex]
D. [tex]3 + 2 + 95[/tex]

**Arianna's Work Schedule:**
- Monday: 3 hours cutting hair
- Tuesday: 2 hours cutting hair
- Wednesday: Earnings on Monday + Earnings on Tuesday + Earnings on Wednesday

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].