Question

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 rates, r. Explain how you know that your answer is reasonable

Answer 1

Julio is paid 1.4 times his normal hourly rate for every excess hour he works in a week.
last week he worked 35 hours and got 436.60 dollars.
We need to find an equation so we can be able to solve Julio’s earnings:
=> Let X be the value of Julio’s rate
=> 30 * X + 5 x 1.4x = 436.6
=> 30x + 7x = 436.6
=> 37x = 436.6
=> 37x / 37 = 436.6 / 37
=> x = 11.8
Thus the original rate of Julio is 11.8 dollars
=> 1.4 x 11.8 = 16.52 dollars, the rate of Julio with added rate
=> 30 x 11.8  + 5 x 16.52
=> 354 + 82.6
=> 436.6