hector works 12 hours a week at a part time job. His original pay rate was $8 per hour but he recently received a pay raise of x dollars an hour. his new total weekly pay, y, is represented by the equaiton y=12(8+x)

Respuesta :

Missing:

If Hector earned $126 last week, what was the amount of Hector's raise per hour?

Answer:

[tex]x = 2.5[/tex]

Step-by-step explanation:

Given

[tex]y=12(8+x)[/tex]

Required

Solve for x when y = 126

[tex]y=12(8+x)[/tex]

[tex]126 = 12(8 + x)[/tex]

Divide through by 12

[tex]\frac{126}{12} = \frac{12(8 + x)}{12}[/tex]

[tex]10.5 = 8 + x[/tex]

[tex]x = 10.5 - 8[/tex]

[tex]x = 2.5[/tex]