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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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