Lia gets paid $45 an hour plus $150 each week. she hopes to earn at least $690 this week.

Hi, if the question is "how many hours she needs to work this week in order to win at least $690"

then, per week Lia wins:

$150 + $45*x,

where x is the amount of hours that she worked in the week.

then the equation we need to solve is:

$150 + $45*x = $690

$45*x = $690 - $150 = $540

x = 540/45 = 12

then she needs to work at least 12 hours this week in order to win at least $690.

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step-by-step explanation: