An employee deposits $96.75 per paycheck into a retirement account. The management company charges a one-time setup fee of $75 If x is the number of paychecks, which inequality represents the number of paychecks before the net change with the fee and deposits is at least $15,000 ?
Answer
A
96 point 5 0 x minus 75 is less than or equal to 15 comma 000
B
96 point 5 0 x plus 75 is less than or equal to 15 comma 000
C
96 point 5 0 x plus 75 is greater than or equal to 15 comma 000
D
96 point 5 0 x minus 75 is greater than or equal to 15 comma 000
Explanation
The deposits add $96.50 per paycheck, so after x paychecks the deposits total $96.50x. Subtract the one-time $75 setup fee to get the net change: $96.50x − $75. “At least $15,000” means greater than or equal to $15,000, so the correct choice is “96.50x − 75 is greater than or equal to 15,000.”
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