College

Noah earns [tex]\$145[/tex] each week at his job. He is paid [tex]\$15.60[/tex] per hour. Which equation shows [tex]x[/tex], the number of hours Noah works each week?

A. [tex]15.60 + x = 145[/tex]

B. [tex]145 - x = 15.60[/tex]

C. [tex]145x = 15.60[/tex]

D. [tex]15.60x = 145[/tex]

Answer :

To find the number of hours Noah works each week, we start by understanding that he earns [tex]$15.60 for every hour he works. He makes a total of $[/tex]145 each week.

We need to set up an equation that links the number of hours he works, represented by [tex]\( x \)[/tex], with his total weekly earnings. Since he earns [tex]$15.60 per hour, the total amount he earns in a week can be represented by multiplying $[/tex]15.60 by the number of hours, [tex]\( x \)[/tex].

So, the equation that represents this situation is:

[tex]\[ 15.60 \times x = 145 \][/tex]

This equation shows that multiplying the number of hours he works each week by his hourly wage ([tex]$15.60) will equal his total weekly earnings ($[/tex]145). To find the number of hours, you would solve this equation for [tex]\( x \)[/tex].