Ask a New Question
Menu

You recently joined a gym. The gym charges a one-time fee of $30 plus $10 per month.

A) Write an expression/equation to represent this situation.

B) To date you have paid $190. How long have you been going to the gym?

C) If you have been going to the gym for 8 months, what would your total cost be?

1 answer

A) The total cost \( C \) for joining the gym can be expressed with the equation: \[ C = 30 + 10m \] where \( m \) represents the number of months you have been a member of the gym.

B) To find out how long you've been going to the gym if you have paid $190, we can set the equation equal to 190: \[ 30 + 10m = 190 \] Subtract 30 from both sides: \[ 10m = 190 - 30 \] \[ 10m = 160 \] Now, divide both sides by 10: \[ m = 16 \] You have been going to the gym for 16 months.

C) If you have been going to the gym for 8 months, we can calculate the total cost using the same equation: \[ C = 30 + 10m \] Substituting \( m = 8 \): \[ C = 30 + 10 \times 8 \] \[ C = 30 + 80 \] \[ C = 110 \] The total cost after 8 months would be $110.