To determine which expression best represents Monica's income for the week, let's carefully analyze the information given:
- Monica earns a fixed bonus of [tex]$60.
- Additionally, she earns $[/tex]8.50 for every hour she works, where [tex]\( h \)[/tex] represents the number of hours worked in the week.
We need to combine these components to form an expression.
1. Monica's earnings from the bonus alone is [tex]$60.
2. Monica's earnings from working \( h \) hours is $[/tex]8.50 per hour.
To incorporate both her bonus and hourly earnings, we can add these two amounts together:
- Earnings from hours worked: [tex]\( 8.50 \times h \)[/tex]
- Fixed bonus: 60
The total income for the week is the sum of her earnings from hours worked and her fixed bonus. Hence, the expression becomes:
[tex]\[
8.50h + 60
\][/tex]
Let's now compare this with the given options:
1. [tex]\( 8.50h + 60 \)[/tex]: This correctly represents the sum of working for [tex]\( h \)[/tex] hours at [tex]$8.50 per hour plus a $[/tex]60 bonus.
2. [tex]\( 8.50 + 60 \)[/tex]: This represents a constant sum of [tex]$8.50 and $[/tex]60, regardless of the hours worked.
3. [tex]\( 8.50 + 60h \)[/tex]: This represents [tex]$8.50 plus $[/tex]60 for each hour worked, which is not correct according to the problem.
4. [tex]\( 8.50 + h + 60 \)[/tex]: This represents the sum of [tex]$8.50, hours \( h \), and $[/tex]60, which doesn't properly combine hourly earnings and the bonus.
Therefore, the expression that best represents Monica's income for the week is:
[tex]\[
8.50h + 60
\][/tex]
