hello

let the maximum number of hours it can work for $7125 be x

then

1150 + 650x should be less than 7125

1150 + 650x < 7125

650 x < 7125 - 1150

650 x < 5975

x< 5975 / 650

x < 9.192

since x is the number of hours the maximum number of hours will be 9 ( by rounding to the greatest integer in the region x < 9.192)

ANSWER IS

THE MAXIMUM NUMBER OF HOURS = 9 hours

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