To find the monthly payment amount for Jamal's gym membership, we first need to determine the total cost of the yearly membership that is not the registration fee.
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Subtract the registration fee from the total cost of the yearly membership: \[ \text{Total yearly membership cost} = $624 \] \[ \text{Registration fee} = $66 \] \[ \text{Cost excluding registration fee} = 624 - 66 = 558 \]
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Since this amount (558) is to be paid in 12 equal monthly payments, we divide this amount by 12: \[ \text{Monthly payment} = \frac{558}{12} \]
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Performing the division: \[ \frac{558}{12} = 46.5 \]
Thus, the monthly payment amount is $46.50.