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

Let x be Juilo's normal hourly rate.

so for the 35 hr week we have:-

30x + 5*1.4x = 436.60

37x = 436.60

x = 436.60 / 37 = $11.80

His normal hourly rate = $11.80

So for a 30 hr week he will earn 11.80 * 30 = $354

So the amount $436.60 is a reasonable figure for a 35 hr week.