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19. Julio is paid 1.4 times his normal hourly rate for each hour he works over
30 hours in a week. Last week he worked 35 hours and earned $436.60. Write
and solve an equation to find Julio's normal hourly rate, r. Explain how you
know that your answer is reasonable.

Respuesta :

Lanuel

Julio's normal hourly rate (r) is equal to $11.8 per hour.

  • Let the normal hourly rate be r.

Translating the word problem into an algebraic expression, we have;

  • Since Julio worked for 35 hours, it simply means that he was paid r amount of dollars per hour for a period of 30 hours;

[tex]30r[/tex] ......equation 1

  • Also, for the remaining number of hours (35 - 30), he was paid he was paid 1.4r amount of dollars per hour;

[tex](35 - 30)[/tex] × [tex]1.4r[/tex] [tex]= 5[/tex] × [tex]1.4r[/tex]

[tex]5[/tex] × [tex]1.4r = 7r[/tex]  .....equation 2

Next, we would equate the expressions to the total amount of money earned by adding eqn 1 and eqn 2.

[tex]30r + 7r = 436.60\\\\37r = 436.60\\\\r = \frac{436.60}{37}[/tex]

Julio's normal hourly rate, r = $11.8 per hour.

Therefore, Julio's normal hourly rate (r) is equal to $11.8 per hour.

Find more information: brainly.com/question/8409825

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