Question
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?
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?
Answers
GPT-4o mini
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.
\[
C = 30 + 10m
\]
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.