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navik [9.2K]
3 years ago
9

Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer: For 10 sessions, the cost of the two plans the same.

Step-by-step explanation:

Let x= Number of sessions.

Given: Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

Total charge for x sessions = 50+30x

Nicole's fitness center charges a yearly fee of $250 plus $10 for each session with a  trainer.

Total charge for x sessions = 250+10x

When both plan charges the same, then

50+30x=250+10x\\\\\Rightarrow\ 30x-10x=250-50\\\\\Rightarrow\ 20x=200\\\\\Rightarrow\ x=10

i.e. For 10 sessions, the cost of the two plans the same.

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