a health club charges non - members $5 per day to swim and $9 per day for an exercise class. members pay a…

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, which equation shows the number of days, d, he must use the gym to make the membership worthwhile?\n\\(\\frac{5d + 9d}{300}=4d\\)\n\\(\\frac{5d + 9d}{4d}=300\\)\n\\(5d + 9d=300 - 4d\\)\n\\(5d + 9d=300 + 4d\\)

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, which equation shows the number of days, d, he must use the gym to make the membership worthwhile?\n\\(\\frac{5d + 9d}{300}=4d\\)\n\\(\\frac{5d + 9d}{4d}=300\\)\n\\(5d + 9d=300 - 4d\\)\n\\(5d + 9d=300 + 4d\\)

Answer

Explanation:

Step1: Calculate non - member cost

Non - members pay $5 per day to swim and $9 per day for an exercise class. If Robert goes to the gym $d$ days, the total cost for non - members is $5d + 9d$.

Step2: Calculate member cost

Members pay a yearly fee of $300 plus $4 per day to attend an exercise class. So the total cost for members for $d$ days is $300+4d$.

Step3: Set up the equation

We want to find when the membership is worthwhile, i.e., when the non - member cost is equal to the member cost. So the equation is $5d + 9d=300 + 4d$.

Answer:

$5d + 9d=300 + 4d$