A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus $4 per day to attend an exercise class and no swim fee.
If Robert swims and takes an exercise class every time he goes to the gym, 5d+9d = 300 + 4d is the equation that shows the number of days, d, he must use to make the gym membership worthwhile.
He has to pay $5 and $9 for each day that he attends the gym and goes for exercise.
If he has a membership, amount to be paid= $300 yearly fee once + $4 everyday he attends afterwards to do both swimming and exercising.
If membership is worth, membership cost= non-membership cost
For the non-membership cost= $5 to swim and $9 to exercise, meaning that one side of the equation is 5d (d represents days) + 9d
For the membership side we have the $300 initial, one-time fee, and then the $4 a day he has to pay to attend. This is equivalent to 300+4d
Thus, putting together both the equations, 5d+9d = 300+4d
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