Answer :
Sure, let's work through the problem step-by-step to find the correct equation.
Noah earns a total of [tex]$145 each week. His hourly pay rate is $[/tex]15.60. We need to determine how many hours, [tex]\( x \)[/tex], Noah works each week.
To find this, we use the relationship that his total earnings for the week ([tex]$145) are equal to his hourly rate ($[/tex]15.60) multiplied by the number of hours he works:
1. Identify the components:
- Total earnings in a week: [tex]$145
- Hourly rate: $[/tex]15.60
- Number of hours worked: [tex]\( x \)[/tex]
2. Set up the equation:
Since his total earnings are given by multiplying the hourly rate by the number of hours worked, we can set up the equation:
[tex]\[
15.60 \times x = 145
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
To find [tex]\( x \)[/tex], you would divide both sides of the equation by 15.60:
[tex]\[
x = \frac{145}{15.60}
\][/tex]
4. Conclusion:
This means the number of hours Noah works each week can be found using the equation [tex]\( 15.60x = 145 \)[/tex]. Therefore, the correct choice from the options provided is:
[tex]\[
15.60x = 145
\][/tex]
This equation accurately represents the relationship between the number of hours Noah works and his weekly earnings.
Noah earns a total of [tex]$145 each week. His hourly pay rate is $[/tex]15.60. We need to determine how many hours, [tex]\( x \)[/tex], Noah works each week.
To find this, we use the relationship that his total earnings for the week ([tex]$145) are equal to his hourly rate ($[/tex]15.60) multiplied by the number of hours he works:
1. Identify the components:
- Total earnings in a week: [tex]$145
- Hourly rate: $[/tex]15.60
- Number of hours worked: [tex]\( x \)[/tex]
2. Set up the equation:
Since his total earnings are given by multiplying the hourly rate by the number of hours worked, we can set up the equation:
[tex]\[
15.60 \times x = 145
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
To find [tex]\( x \)[/tex], you would divide both sides of the equation by 15.60:
[tex]\[
x = \frac{145}{15.60}
\][/tex]
4. Conclusion:
This means the number of hours Noah works each week can be found using the equation [tex]\( 15.60x = 145 \)[/tex]. Therefore, the correct choice from the options provided is:
[tex]\[
15.60x = 145
\][/tex]
This equation accurately represents the relationship between the number of hours Noah works and his weekly earnings.
